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8 Gubkina St. Moscow,
119991, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi.ras.ru
E-mail: steklov@mi.ras.ru

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Department of Function Theory

| Seminars | History of the Department | Research Fields | Awards | Publications |
Besov Oleg Vladimirovich

Doctor Phys.-Math. Sci., Corresponding Member of RAS, Head of Department
office: 519; tel.: +7 (499) 941 01 89, +7 (495) 984 81 41 * 36 67; e-mail: besov@mi.ras.ru
Personal page: http://www.mi.ras.ru/~besov/
Principal fields of research: Functional spaces. Imbeddings. Approximation of classes of functions.
Besov Oleg Vladimirovich
Bochkarev Sergei Viktorovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 503; tel.: +7 (495) 984 81 41 * 37 89; e-mail: bochkarv@mi.ras.ru
Principal fields of research: Trigonometric and orthogonal series. Functional spaces. Bases and almost everywhere convergence.
Bochkarev Sergei Viktorovich
Kashin Boris Sergeevich

Doctor Phys.-Math. Sci., Professor, Academician of RAS, Chief Scientific Researcher
office: 517; tel.: +7 (495) 984 81 41 * 37 84; e-mail: kashin@mi.ras.ru
Personal page: http://www.mi.ras.ru/~kashin
Kashin Boris Sergeevich
Malykhin Yuri Viatcheslavovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 502; tel.: +7 (495) 984 81 41 * 37 88, +7 (495) 984 81 41 * 36 64; e-mail: malykhin@mi.ras.ru
Malykhin Yuri Viatcheslavovich
Telyakovskii Sergei Aleksandrovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 502; tel.: +7 (495) 984 81 41 * 37 88, +7 (495) 984 81 41 * 36 64; e-mail: SergeyAltel@yandex.ru
Principal fields of research: Approximations of functions. Special trigonometric series. Extreme properties. Functions with bounded variation.Widths.
Telyakovskii Sergei Aleksandrovich
Tyulenev Alexander Ivanovich

Candidate Phys.-Math. Sci., Scientific Researcher
e-mail: tyulenev@mi.ras.ru
Volkov Evgenii Alekseevich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 502; tel.: +7 (495) 984 81 41 * 37 88, +7 (495) 984 81 41 * 36 64;
Principal fields of research: Differential equations. Difference methods. Exponentially convergent block method for solving boundary problems for the Laplace equation on polygons and the conformal mapping of multiconnected polygons onto canonical domains.
Volkov Evgenii Alekseevich

Burenkov Viktor Ivanovich

Doctor Phys.-Math. Sci., Professor, Out-Of-Staff Member
e-mail: burenkov@cardiff.ac.uk
Personal page: http://www.enu.kz/ru/lica-enu/burenkov-viktor-ivanovich/
Oskolkov Konstantin Il'ich

Doctor Phys.-Math. Sci., Professor, Out-Of-Staff Member
e-mail: oskolkov@math.sc.edu
Personal page: http://www.math.sc.edu/konstantin-oskolkov
Stepanov Vladimir Dmitrievich

Doctor Phys.-Math. Sci., Professor, Corresponding Member of RAS, Out-Of-Staff Member
e-mail: stepanov@mi.ras.ru
Temlyakov Vladimir Nikolaevich

Doctor Phys.-Math. Sci., Professor, Out-Of-Staff Member
e-mail: temlyak@math.sc.edu
Personal page: http://www.math.sc.edu/people/temlyakov.html

Kudryavtsev Lev Dmitrievich (25.03.1923 – 17.02.2012)

Doctor Phys.-Math. Sci., Corresponding Member of RAS

Principal fields of research: Locally compact spaces. Function spaces. Embedding theorems. Boundary-value problems. Differential equations. Variational methods. Singular points. Asymptotics of solutions. Extension of solutions. Spaces of functions with given asymptotics. Almost normed spaces.
Nikolskii Sergei Mikhailovich (30.04.1905 – 9.11.2012)

Doctor Phys.-Math. Sci., Academician of RAS

Principal fields of research: Calculus. Polynomial approximations. Variational methods. Boundary-value problems.
Pokhozhaev Stanislav Ivanovich (24.08.1935 – 30.01.2014)

Doctor Phys.-Math. Sci., Professor, Corresponding Member of RAS

Personal page: http://www.mi.ras.ru/~pokhozhaev
Principal fields of research: Nonlinear functional analysis. Nonlinear PDE's. Nonlinear variational problems.
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
Seminar Chairman: O. V. Besov
Steklov Mathematical Institute, Room 530 (8 Gubkina)
Seminar on Approximation Theory
Seminar Chairman: S. A. Telyakovskii
Steklov Mathematical Institute, Room 502 (8 Gubkina)
History of the Department

The Department of Function Theory was organized in 1934, on the basis of the Department with the same name at the Institute of Physics and Mathematics of the Academy of Sciences of the USSR, when after a removal from Leningrad to Moscow that institute was divided into two independent institutes, Steklov Mathematical Institute and Physical Institute after P. N. Lebedev. The Department became at once one of leading mathematical centers on function theory in the world and keeps this state up to now. Members of the Department carry out investigations of classical and new problems of mathematical analysis, as well as develop new methods of studying actual problems of function theory. Many received results are on a level with the highest world achievements and often predetermine further development of mathematics in corresponding areas.

At different years, the Department was headed by world-known mathematicians, N. N. Luzin, M. A. Lavrent'ev, S. M. Nikolskii.

N. N. Luzin was the founder of a large mathematical school. His works on the theory of trigonometric series, metric function theory, and the theory of functions of complex variables long ago became classical. They were successfully developed by members of the Department, his students and followers: Academicians B. S. Kashin, P. S. Novikov, P. L. Ul'yanov, Correspondent Members of Academy L. V. Keldysh, D. E. Men'shov, Doctors of Phys.-Math. Sci. S. V. Bochkarev, K. I. Oskolkov, S. A. Telyakovskii, and V. N. Temlyakov. N. N. Luzin was one of the founders of descriptive function theory. Of prime importance are projective sets discovered by N. N. Luzin. He supposedand this hypothesis was confirmed laterthat for these sets one can not solve (inaclassical sense) a series of problems, including the problem of measurability of projective sets. These works lent impetus to investigations in mathematical logic (P. S. Novikov).

D. E. Men'shov was a member of the Department from its founding. He developed the theory of trigonometric and orthogonal series, as well as the theory of monogenic functions and conformal mappings. In 1951, he was awarded the State Prize for his fundamental investigations of the problem of representation of functions by trigonometric series, and in 1975 he was awarded the Chebyshev Prize of the USSR Academy of Sciences, for his work on summation of trigonometric series.

M. A. Lavrent'ev developed variational principles of conformal mappings and received a series of fundamental results on boundary properties of analytical functions and on approximations of continuous functions in a complex area by polynomials. He solved a series of crucial problems of theory of quasiconformal mappings. For these results he was awarded by State Prize in 1946 and by Lenin Prize in 1958. His follower, Correspondent Member of Academy A. V. Bitsadze, applied methods of functions of complex variable to solve a series of important in essence problems of theory of partial differential equations, including equations of mixed type. Correspondent Member of Academy A. F. Leont'ev developed theory of exponent series.

Theory of approximation of functions was one of growing areas in the Department. Researches in this direction were carried out by Academicians S. N. Bernshtein, A. A. Gonchar, M. V. Keldysh, M. A. Lavrent'ev, S. M. Nikol'skii, Correspondent Member of Academy S. N. Mergelyan, and others. In 1942, for fundamental results on theory of approximation of functions S. N. Bernshtein was awarded the State Prize.

In 1952, for a circle of works on the best approximation of functions of complex variable S. N. Mergelyan was awarded the State Prize.

Since 1960 until 1988, the Department was headed by Academician S. M. Nikol'skii, and since 1988 until1994, the Department was headed by Correspondent Member of Academy L. D. Kudryavtsev. Since 1994 Correspondent Member of Academy O. V. Besov is the Head of the Department. At present the staff of the department includes Academician B. S. Kashin, Correspondent Members of Academy S. V. Konyagin, S. I. Pokozhaev, Doctors of Phys.-Math. Sci. S. V. Bochkarev, E. A. Volkov, S. A. Telyakovskii, and Candidate of Phys.-Math. Sci. Yu. V. Malykhin.

More than 45 years ago, S. M. Nikol'skii organized the scientific-research seminar on theory of smooth functions of many variables which is working in the Department. S. M. Nikol'skii is leaderships of this worldly recognized seminar. Atdifferent times V. I. Kondrashov, L. D. Kudryavstev, and S. L. Sobolev were leaderships of the seminar.

Research Fields

In a series of works, S. M. Nikolskii established a link between smoothness of functions, their approximations, and embedding of classes of functions, and for the first time developed a consistent theory of embeddings of functional spaces. These works served as a basis for more in-depth study of theory of differentiable functions of many variables in its applications to variational methods (S.M.Nikol'skii and his followers O. V. Besov, L. D. Kudryavtsev, and P. I. Lizorkin). In 1972, for the Monograph "Approximation of Functions of Many Variables and Embedding Theorems" S. M. Nikolskii received the Chebyshev Prize of the USSR Academy of Sciences. In 1977, for the Monograph "Integral Representations of Functions and Embedding Theorems" O. V. Besov, V. I. Il'in, and S. M. Nikolskii were awarded the State Prize.

The theory of embeddings of functional spaces of differentiable functions was developed in the Department (O. V. Besov, L. D. Kudryavtsev, P. I. Lizorkin, and S. M. Nikolskii). In 1988, for a series of works on boundary problems for differential operators and their applications in mathematical physics, Academician O. A. Oleinik and Correspondent Member of Academy L. D. Kudryavtsev were awarded the State Prize. O. A.Oleinik was awarded the Chebyshev Prize of the USSR Academy of Sciences (1952), the Lomonosov Prize (1964, for a circle of works on mathematical problems in theory of boundary layer), the Petrovskii Prize of the Russian Academy of Sciences (1995, for a cycle of works on asymptotic methods in mathematical physics).

Theory of orthogonal series was actively developed in the Department. In particular,

  • many-sided investigations of series into Haar components and their applications were subjected (P. L. Ul'yanov);
  • important results were received for problems of convergence and summability of Fourier series in classical and general systems (S. V. Bochkarev, B. S. Kashin, K. I. Oskolkov, S. B. Stechkin, S. A. Telyakovskii, and P. L. Ul'yanov);
  • a circle of principal problems of constructing a basis in functional spaces was solved (S. V. Bochkarev);
  • valuable results were received for theoretical problems of theory of best approximations in Banach spaces (S. B. Stechkin), estimates for widths of function classes (B. S. Kashin, S. B. Stechkin, and V. N. Temlyakov), approximation of functions of many variables by harmonic polynomials and bilinear forms (P. I. Lizorkin, S. M. Nikolskii, and V. N. Temlyakov);
  • both probabilistic (S. V. Bochkarev and B. S. Kashin) and geometrical (B. S. Kashin) methods of investigating orthogonal series and approximations of functions were developed;
  • in-depth investigations were carried out for group representation theory, spectral theory of linear operators, and functional analysis (M. A. Naimark);
  • for a circle of works on metric function theory, P. L. Ul'yanov was awarded the State Prize of Russian Federation (1993).

New estimates for mistakes of quadrature and cubature formulae in numerical analysis were obtained (S. M. Nikolskii and S. L. Sobolev); convergence estimates for difference approximate methods of solving boundary problems for the Laplace and Poisson equations were obtained; an exponentially convergent block method was proposed to solve boundary problems for the Laplace equation on polygons and the conformal mappings of multiply connected polygons on canonical regions (E. A. Volkov).

During 1984–1989, Academician S. L. Sobolev had an appointment in the Department. For this time S. L. Sobolev completed a preparation of revised model of his classical Monograph "Some applications of functional analysis in mathematical physics" (3rd ed., Moscow, Nauka, 1988).

In the area of nonlinear analysis, a new constructive method of variational calculus (the so-called method of global stratification) was developed; based on this method, a solvability of a wide class of essentially nonlinear elliptic problems was proved; using the variational Pokhozhaev identities a solvability of elliptic problems in a space with supercritical nonlinearity index was studied;. the new conception of "nonlinear capacity" was attracted to create a new theory of absence of solutions for nonlinear problems of elliptic, parabolic, and hyperbolic types, including multidimensional hyperbolic equations (Correspondent Member of Academy S. I. Pokhozhaev).

Problems of spectral theory of selfadjoint and nonselfadjoint operators are investigating, as well as problems of convergence of spectral expansions and relations of this theory to the problem of complete integrability of nonlinear differential equations (Academician V. A. Il'in).

Asymptotic behaviour of solutions of nonlinear partial differential equations was investigated (Academician O. A. Oleinik).

The theory of averaging for differential equations was developed and its applications in physics, mechanics and engineering sciences are studied (O. A. Oleinik).


The members of the Department were awarded the following State and Academy Prizes:

S. M. Nikolskii
The State Prize (1952)
The Chebyshev Prize of the USSR Academy of Sciences (1972);
The Vinogradov Prize (1985);
The State Prize of Ukraine (1994);
The Kolmogorov Prize (2000);
The Ostrogradskii Prize of National Academy of Sciences of Ukraine (2000);
O. V. Besov, V. P. Il'in, and S. M. Nikolskii
The State Prize (1977);
Ya. S. Bugrov and S. M. Nikol'skii
The State Prize (1987);
Yu. V. Egorov, V. A. Kondrat'ev, L. D. Kudryavtsev, and O. A. Oleinik
The State Prize (1988);
L. D. Kudryavtsev
The Moscow Mathematical Society Prize (1954);
O. V. Besov
The Moscow Mathematical Society Prize (1960);
S. V. Bochkarev
The Salem Prize (1977);
E. A. Volkov
The Prize of Division of Mathematics, USSR Academy of Sciences (1988);
The MAIK/NAUKA Prize for the best publication (1998);
B. S. Kashin
The Moscow Mathematical Society Prize (1988);
S. A. Telyakovskii
The Premium of RFFI for best scientific-popular paper (1998);


International contacts

Members of the Department were invited as speakers at many International Mathematical Congresses:

S. M. Nikol'skii (Amsterdam, 1954)
A. A. Gonchar (Moscow, 1966)
P. L. Ul'yanov (Nice, 1970)
S. V. Bochkarev (Helsinki, 1978)
B. S. Kashin (Warszawa, 1983)

Recent publications

Steklov Mathematical Institute staff Steklov Mathematical Institute staff and out-of-staff employees
| by years | scientific publications | by types |

1. A. I. Tyulenev, S. K. Vodop'yanov, On a Whitney-type problem for weighted Sobolev spaces on $d$-thick closed sets , arXiv: 1606.06749

2. O. V. Besov, “Another Note on the Embedding of the Sobolev Space for the Limiting Exponent”, Math. Notes, 101:4 (2017), 608–618  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
3. B. S. Kashin, A. V. Meleshkina, “Letter to the Editor”, Math. Notes, 101:4 (2017), 751  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
4. Yu. V. Malykhin, K. S. Ryutin, “The Product of Octahedra is Badly Approximated in the $\ell_{2,1}$-Metric”, Math. Notes, 101:1 (2017), 94–99  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
5. Yu. V. Malykhin, E. V. Shchepin, “Chain development of metric compacts”, Topology Appl., 221 (2017), 624–629 , arXiv: 1604.00848  mathnet  crossref  isi  scopus
6. E. S. Belkina, Y. V. Malykhin, “Fourier coefficients of continuous functions with respect to localized Haar system”, Probl. anal. Issues Anal., 6(24):1 (2017), 11–18  mathnet  crossref  scopus
7. A. I. Tyulenev, “On various approaches to Besov-type spaces of variable smoothness”, J. Math. Anal. Appl., 451:1 (2017), 371–392  mathnet  crossref  isi  scopus
8. A. I. Tyulenev, S. K. Vodop'yanov, “On the Whitney Problem for Weighted Sobolev Spaces”, Dokl. Math., 95:1 (2017), 79–83  mathnet  crossref  crossref  isi  elib  scopus

9. S. A. Telyakovskii, “On the Rate of Convergence in $L$ of Fourier Sine Series with Monotone Coefficients”, Math. Notes, 100:3 (2016), 472–476  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
10. Yu. N. Subbotin, S. A. Telyakovskii, “Uniform approximation of curvature of smooth planar curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 254–256  mathnet  crossref  mathscinet  elib
11. O. V. Besov, “Spaces of functions of positive smoothness on irregular domains”, Dokl. Math., 93:1 (2016), 13–15  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 1)
12. Funktsionalnye prostranstva, teoriya priblizhenii, smezhnye razdely matematicheskogo analiza, Sbornik statei. K 110-letiyu so dnya rozhdeniya akademika Sergeya Mikhailovicha Nikolskogo, Tr. MIAN, 293, ed. O. V. Besov, A. G. Sergeev, MAIK, M., 2016 , 351 pp.  mathnet
13. O. V. Besov, “Spaces of functions of positive smoothness on irregular domains”, Proc. Steklov Inst. Math., 293 (2016), 56–66  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 1)
14. M. V. Balashov, O. V. Besov, B. I. Golubov, V. V. Goryainov, V. N. Diesperov, S. I. Dudov, G. E. Ivanov, S. P. Konovalov, R. V. Konstantinov, A. B. Kurzhanskii, S. R. Nasyrov, A. G. Sergeev, V. V. Starkov, V. M. Tikhomirov, M. I. Shabunin, “Evgenii Sergeevich Polovinkin (on his 70th birthday)”, Russian Math. Surveys, 71:5 (2016), 983–987  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
15. O.V. Besov, Lektsii po matematicheskomu analizu, 3-e izd., Fizmatlit, M., 2016 , 480 pp.
16. O. V. Besov, “Embedding of Sobolev spaces with limit exponent revisited”, Dokl. Math., 94:3 (2016), 684–687  mathnet  crossref  crossref  isi  elib  scopus
17. B. I. Golubov, B. S. Kashin, T. P. Lukashenko, M. G. Plotnikov, M. A. Skopina, A. P. Solodov, A. M. Stepin, N. N. Kholshchevnikova, “Valentin Anatol'evich Skvortsov (on his 80th birthday)”, Russian Math. Surveys, 71:1 (2016), 175–177  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
18. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, A. N. Chumachenko, “18th International Saratov Winter School Contemporary Problems of Function Theory and Their Applications”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 16:4 (2016), 485–487  mathnet
19. B. S. Kashin, “Dyadic analogues of Hilbert matrices”, Russian Math. Surveys, 71:6 (2016), 1135–1136  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
20. E. A. Volkov, A. A. Dosiyev, “On the numerical solution of a multilevel nonlocal problem”, Mediterr. J. Math., 13:5 (2016), 3589–3604  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
21. Yu. V. Malykhin, “Relative widths of Sobolev classes in the uniform and integral metrics”, Proc. Steklov Inst. Math., 293 (2016), 209–215  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
22. A. I. Tyulenev, “Besov-type spaces of variable smoothness on rough domains”, Nonlinear Anal., 145 (2016), 176–198  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

23. Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Math. Notes, 97:4 (2015), 598–604  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
24. S. A. Telyakovskii, “On the Coefficients of Fourier Series Convergent in $L$”, Math. Notes, 98:1 (2015), 189–191  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
25. Yu. V. Malykhin, S. A. Telyakovskii, N. N. Kholshchevnikova, “Integrability of the Sum of Absolute Values of Blocks of the Fourier–Walsh Series for Functions of Bounded Variation”, Proc. Steklov Inst. Math., 290 (2015), 306–317  mathnet  crossref  crossref  isi  elib  elib  scopus
26. S. A. Telyakovskii, “An addition to V.P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series””, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 277–281  mathnet  elib
27. S. A. Telyakovskii, “O svoistvakh ryadov iz modulei blokov trigonometricheskogo ryada”, Materialy mezhdunarodnoi nauchnoi konferentsii «Teoriya priblizhenii funktsii i rodstvennye zadachi analiza», posvyaschennoi pamyati doktora fiziko-matematicheskikh nauk, professora P. P. Korovkina (Kaluga, 09–10 oktyabrya 2015 g.), Izd-vo Kaluzhskogo gosudarstvennogo universiteta imeni K. E. Tsiolkovskogo, Kaluga, 2015, 71–72  elib
28. O. V. Besov, Lektsii po matematicheskomu analizu, 2-e izd., ispravlennoe i dopolnennoe, FIZMATLIT, M., 2015 , 480 pp.
29. O. V. Besov, “Embeddings of Sobolev spaces in the case of the limit exponent”, Dokl. Math., 91:3 (2015), 277–280  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
30. O. V. Besov, “Embedding of a Weighted Sobolev Space and Properties of the Domain”, Proc. Steklov Inst. Math., 289 (2015), 96–103  mathnet  crossref  crossref  isi (cited: 4)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
31. O. V. Besov, “Embedding of Sobolev Space in the Case of the Limit Exponent”, Math. Notes, 98:4 (2015), 550–560  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib  elib  scopus (cited: 1)
32. S. V. Bochkarev, “Kolmogorovs abstract theorem: Application to metric spaces and topological groups”, Dokl. Math., 91:3 (2015), 367–370  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
33. B. S. Kashin, “Lunin's method for selecting large submatrices with small norm”, Sb. Math., 206:7 (2015), 980–987  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus (cited: 1)
34. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “XVII International Saratov Winter School Contemporary Problems of the Function Theory and its Applications. Dedicated to the 150th Anniversary of V.  A. Steklov”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 15:3 (2015), 357–359  mathnet  elib
35. V. M. Buchstaber, V. N. Dubinin, V. A. Kaliaguine, B. S. Kashin, V. N. Sorokin, S. P. Suetin, D. N. Tulyakov, B. N. Chetverushkin, E. M. Chirka, A. A. Shkalikov, “Alexander Ivanovich Aptekarev (on his 60th birthday)”, Russian Math. Surveys, 70:5 (2015), 965–973  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
36. Yu. V. Malykhin, E. V. Shchepin, “Chain Development”, Proc. Steklov Inst. Math., 290 (2015), 300–305  mathnet  crossref  crossref  isi (cited: 1)  elib  elib  scopus (cited: 1)
37. A. I. Tyulenev, “Some new function spaces of variable smoothness”, Sb. Math., 206:6 (2015), 849–891  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
38. A. I. Tyulenev, “Traces of weighted Sobolev spaces with Muckenhoupt weight. The case $p=1$”, Nonlinear Anal., 128 (2015), 248–272  mathnet  crossref  mathscinet (cited: 1)  isi (cited: 3)  elib  scopus (cited: 3)

39. S. A. Telyakovskii, “On the Series of Absolute Values of Blocks of Trigonometric Series”, Proc. Steklov Inst. Math., 284 (2014), 235–243  mathnet  crossref  crossref  isi  elib  elib  scopus
40. O. V. Besov, Lektsii po matematicheskomu analizu, FIZMATLIT, M., 2014 , 480 pp.
41. O. V. Besov, “To the Sobolev Embedding Theorem for the Limiting Exponent”, Proc. Steklov Inst. Math., 284 (2014), 81–96  mathnet  crossref  crossref  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
42. O. V. Besov, “Embedding of Sobolev spaces and properties of the domain”, Math. Notes, 96:3 (2014), 326–331  mathnet  crossref  crossref  zmath  isi (cited: 8)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
43. O. V. Besov, “Embedding of a weighted Sobolev space and properties of the domain”, Dokl. Math., 90:3 (2014), 754–757  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 1)  elib  elib  scopus
44. V. A. Galaktionov, E. Mitidieri, S. I. Pohozaev, “Classification of global and blow-up sign-changing solutions of a semilinear heat equation in the subcritical Fujita range: second-order diffusion”, Adv. Nonlinear Stud., 14:1 (2014), 1–29  crossref  mathscinet (cited: 3)  zmath  isi (cited: 4)  elib (cited: 3)  scopus (cited: 4)
45. S. I. Pokhozhaev, “Smooth solutions of the Navier-Stokes equations”, Sb. Math., 205:2 (2014), 277–290  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
46. V. A. Galaktionov, E. L. Mitidieri, S. I. Pohozaev, Blow-up for higher-order parabolic, hyperbolic, dispersion and Schroedinger equations, Monographs and Research Notes in Mathematics, CRC Press, Boca Raton, FL, 2014 , 568 pp.  crossref  zmath  isi
47. S. V. Bochkarev, “de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density”, Russian Math. Surveys, 69:1 (2014), 119–152  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
48. B. S. Kashin, “On a Special Orthogonal Decomposition of the Space $L^2(0,1)$”, Math. Notes, 95:4 (2014), 570–572  mathnet  crossref  crossref  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
49. Funktsionalnye prostranstva i smezhnye voprosy analiza, Sbornik statei. K 80-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Olega Vladimirovicha Besova, Tr. MIAN, 284, ed. B. S. Kashin, A. G. Sergeev, MAIK, M., 2014 , 303 pp.  mathnet
50. B. S. Kashin, A. V. Meleshkina, “On $n$-Term Approximations with Respect to Frames Bounded in $L^p(0,1)$, $2<p<\infty$”, Math. Notes, 95:6 (2014), 775–779  mathnet  crossref  crossref  isi (cited: 2)  elib  elib  scopus
51. A. I. Aptekarev, P. A. Borodin, B. S. Kashin, Yu. V. Nesterenko, P. V. Paramonov, A. V. Pokrovskii, A. G. Sergeev, A. T. Fomenko, “Evgenii Prokof'evich Dolzhenko (on his 80th birthday)”, Russian Math. Surveys, 69:6 (2014), 1143–1148  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
52. S. V. Konyagin, Yu. V. Malykhin, K. S. Ryutin, “Letter to the Editor”, Math. Notes, 96:3 (2014), 462  mathnet  crossref  crossref  zmath  isi  elib  elib  scopus
53. Yu. V. Malykhin, K. S. Ryutin, “Concentration of the $L_1$-norm of trigonometric polynomials and entire functions”, Sb. Math., 205:11 (2014), 1620–1649  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus
54. Yu. V. Malykhin, “Asimptoticheskie svoistva chebyshëvskikh splainov s fiksirovannym chislom uzlov”, Fundament. i prikl. matem., 19:5 (2014), 143–166  mathnet  mathscinet; Yu. V. Malykhin, “Asymptotic properties of Chebyshev splines with fixed number of knots”, J. Math. Sci., 218:5 (2016), 647–663  crossref  mathscinet  elib
55. A. I. Tyulenev, “Description of Traces of Functions in the Sobolev Space with a Muckenhoupt Weight”, Proc. Steklov Inst. Math., 284 (2014), 280–295  mathnet  crossref  crossref  zmath  isi (cited: 5)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 5)
56. A. I. Tyulenev, “Boundary values of functions in a Sobolev space with Muckenhoupt weight on some non-Lipschitz domains”, Sb. Math., 205:8 (2014), 1133–1159  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
57. A. I. Tyulenev, “Boundary values of functions from Sobolev spaces with Mockenhaupt weight on non-Lipschitz domains”, Dokl. Math., 89:3 (2014), 338–342  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus
58. A. I. Tyulenev, Granichnye znacheniya vesovykh prostranstv Soboleva, Dis. … kand. fiz.-matem. nauk, M., 2014  elib

59. A. Yu. Popov, S. A. Telyakovskii, “Estimate for the integral of the absolute value of a sine series with monotone coefficients”, Proc. Steklov Inst. Math., 280 (2013), 263–267  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
60. S. A. Telyakovskii, Lectures on mathematical analysis. Semester III, Lekts. Kursy NOC, 20, Steklov Math. Inst., RAS, Moscow, 2013 , 242 pp.  mathnet  mathnet  mathnet  crossref  zmath  elib
61. S. A. Telyakovskii, “On Properties of the Moduli of Blocks of the Terms of the Series $\sum \frac{1}{k} \sin kx$”, Izv. Saratov. Univ. Mat. Mekh. Inform., 13:1(2) (2013), 92–95  mathnet
62. O. V. Besov, S. V. Bochkarev, E. A. Volkov, V. A. Il'in, B. S. Kashin, V. V. Kozlov, S. V. Konyagin, N. N. Kudryavtsev, Yu. S. Osipov, S. I. Pokhozhaev, V. A. Sadovnichii, A. G. Sergeev, S. A. Telyakovskii, “His mathematical century (to the memory of Sergei Mikhailovich Nikol'skii)”, Russian Math. Surveys, 68:3 (2013), 591–594  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
63. S. A. Telyakovskii, “Boundedness of the Series of Absolute Values of Blocks of Sine Series”, Proc. Steklov Inst. Math., 283 (2013), 245–249  mathnet  crossref  crossref  isi  elib
64. S. A. Telyakovskii, “Ryady iz modulei blokov chlenov trigonometricheskogo ryada (obzor)”, Fundament. i prikl. matem., 18:5 (2013), 209–216  mathnet  mathscinet  elib; S. A. Telyakovskii, “Series formed by the moduli of blocks of terms of trigonometric series. A survey”, J. Math. Sci., 209:1 (2015), 152–158  crossref  mathscinet  elib  scopus
65. S. A. Telyakovskii, “On the Gauss test for convergence of series”, Matematika v Vysshem Obrazovanii, 2013, no. 11, 43–44
66. O. V. Besov, “Kolmogorov widths of Sobolev classes on an irregular domain”, Proc. Steklov Inst. Math., 280 (2013), 34–45  mathnet  crossref  crossref  mathscinet  isi (cited: 6)  elib (cited: 4)  elib (cited: 4)  scopus (cited: 4)
67. O. V. Besov, V. I. Burenkov, T. Sh. Kalmenov, R. Oinarov, M. Otelbaev, E. S. Smailov, “On the 90th anniversary of Professor Toleubay Idrisovich Amanov (25.08.1923–21.06.1978)”, Eurasian Math. J., 4:3 (2013), 5–7  mathnet
68. O. V. Besov, “K teoreme vlozheniya Soboleva dlya predelnogo pokazatelya”, Trudy Mezhdunarodnoi nauchno-prakticheskoi konferentsii «Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya» (Semei, Kazakhstan, 3–5 oktyabrya 2013 g.), Gosudarstvennyi universitet im. Shakarima, 2013, 20-25
69. Teoriya funktsii i uravneniya matematicheskoi fiziki, Sbornik statei. K 90-letiyu so dnya rozhdeniya chlena-korrespondenta RAN Lva Dmitrievicha Kudryavtseva, Tr. MIAN, 283, ed. S. I. Pokhozhaev, A. G. Sergeev, MAIK, M., 2013 , 287 pp.  mathnet
70. S. I. Pokhozhaev, “Nonexistence of global solutions of nonlinear evolution equations”, Differ. Equ., 49:5 (2013), 599–606  crossref  crossref  zmath  isi (cited: 5)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 7)
71. S. I. Pokhozhaev, “Critical nonlinearities in partial differential equations”, Russ. J. Math. Phys., 20:4 (2013), 476–491  crossref  mathscinet  isi  elib  scopus
72. A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
73. E. A. Volkov, “Approximate grid solution of a nonlocal boundary value problem for Laplaces equation on a rectangle”, Comput. Math. Math. Phys., 53:8 (2013), 1128–1138  mathnet  crossref  crossref  mathscinet  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 2)
74. E. A. Volkov, “Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle”, Comput. Math. Math. Phys., 53:10 (2013), 1494–1498  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)
75. E. A. Volkov, A. A. Dosiyev, S. C. Buranay, “On the solution of a nonlocal problem”, Comput. Math. Appl., 66:3 (2013), 330–338  crossref  mathscinet (cited: 4)  zmath  isi (cited: 8)  elib (cited: 5)  scopus (cited: 9)
76. S. V. Konyagin, Yu. V. Malykhin, C. S. Rjutin, “On Exact Recovery of Sparse Vectors from Linear Measurements”, Math. Notes, 94:1 (2013), 107–114  mathnet  crossref  crossref  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
77. Yu. V. Malykhin, K. S. Ryutin, “On the concentration of measure and the $L^1$-norm”, J. Approx. Theory, 175 (2013), 77–82  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
78. A. I. Tjulenev, “The Problem of Traces for Sobolev Spaces with Muckenhoupt-Type Weights”, Math. Notes, 94:5 (2013), 668–680  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
79. A. I. Tjulenev, “Differentiability Points of Functions in Weighted Sobolev Spaces”, Proc. Steklov Inst. Math., 283 (2013), 250–259  mathnet  crossref  crossref  zmath  isi  elib

80. Yu. N. Subbotin, S. A. Telyakovskii, “On the relative widths of ellipsoids in Hilbert space”, Math. Notes, 91:3 (2012), 449–452  mathnet  crossref  crossref  isi  elib  elib  scopus
81. S. A. Telyakovskii, “On the properties of blocks of terms of the series $\sum\frac1k\sin kx$”, Ukr. Math. J., 64:5 (2012), 816–822  crossref  isi (cited: 2)  elib  scopus (cited: 1)
82. O. V. Besov, “Function spaces of smoothness zero”, Dokl. Math., 86:1 (2012), 447–449  crossref  zmath  isi  elib  elib  scopus
83. O. V. Besov, “On spaces of functions of smoothness zero”, Sb. Math., 203:8 (2012), 1077–1090  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  isi (cited: 5)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 4)
84. O. V. Besov, V. I. Burenkov, “To the memory of Academician Sergei Mikhailovich Nikol'skii”, Eurasian Mathematical Journal, 3:4 (2012), 6-9  mathnet
85. F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
86. D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
87. G. I. Arkhipov, S. B. Gashkov, M. P. Mineev, S. M. Nikol'skii, V. A. Sadovnichii, Diskr. Mat., 24:2 (2012), 4–20  mathnet  crossref  mathscinet  elib
88. V. A. Galaktionov, E. Mitidieri, S. Pohozaev, “Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range”, Advanced Nonlinear Studies, 12:3 (2012), 569–596  mathscinet (cited: 1)  isi (cited: 2)  elib (cited: 1)  scopus (cited: 1)
89. S. I. Pohozaev, “Blowup of Global Sign-Changing Solutions of a Nonlinear Heat Equation”, Dokl. Math., 85:2 (2012), 225–228  crossref  mathscinet  isi  elib (cited: 1)  elib (cited: 1)  scopus
90. S. I. Pohozaev, “Blow-up of smooth solutions of the Korteweg–de Vries equation”, Nonlinear Analysis: Theory, Methods & Applications, 75:12 (2012), 4688–4698  crossref  mathscinet (cited: 1)  isi (cited: 3)  scopus (cited: 3)
91. S. I. Pokhozhaev, “On a class of initial-boundary value problems for equations of Korteweg–de Vries type”, Differ. Equ., 48:3 (2012), 372–378  crossref  isi (cited: 2)  elib  elib  scopus (cited: 1)
92. S. I. Pokhozhaev, “On the nonexistence of global solutions of the Cauchy problem for the Korteweg–de Vries equation”, Funct. Anal. Appl., 46:4 (2012), 279–286  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
93. V. Pikulin, S. Pohozaev, Equations in mathematical physics: a practical course, Modern Birkhäuser Classics, Birkhäuser, Basel, 2012 , 207 pp.  crossref
94. S. V. Bochkarev, “Srednie Valle Pussena ryadov Fure dlya kvadratichnogo spektra i spektrov stepennoi plotnosti”, VII Mezhdunarodnyi simpozium «Ryady Fure i ikh prilozheniya» (Rostov-na-Donu, 2012 g.), Tezisy dokladov, Yuzhnyi federalnyi universitet, 2012, 12–13
95. B. I. Golubov, B. S. Kashin, L. Yu. Kossovich, S. P. Sidorov, A. P. Khromov, “16 Saratov winter school “Contemporary problems of function theory and its applications””, Izv. Saratov. Univ. Mat. Mekh. Inform., 12:2 (2012), 114–115  mathnet
96. J. Bourgain, B. S. Kashin, “Uniform approximation of partial sums of a Dirichlet series by shorter sums and $\Phi$-widths”, Sb. Math., 203:12 (2012), 1736–1760  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  elib  scopus
97. E. A. Volkov, A. A. Dosiyev, “A highly accurate homogeneous scheme for solving the laplace equation on a rectangular parallelepiped with boundary values in $C^{k,1}$”, Comput. Math. Math. Phys., 52:6 (2012), 879–886  mathnet  crossref  mathscinet  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
98. E. A. Volkov, “About a local grid method of a solution of Laplaces equation in the infinite rectangular cylinder”, Comput. Math. Math. Phys., 52:1 (2012), 90–97  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
99. M. Z. Garaev, S. V. Konyagin, Yu. V. Malykhin, “Asymptotics for the sum of powers of distances between power residues modulo a prime”, Proc. Steklov Inst. Math., 276 (2012), 77–89  mathnet  crossref  mathscinet  isi (cited: 1)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 2)
100. Yu. V. Malykhin, “Bracketing Entropy and VC-Dimension”, Math. Notes, 91:6 (2012), 800–807  mathnet  crossref  crossref  isi  elib  elib  scopus
101. S. V. Konyagin, Yu. V. Malykhin, “Basis sets in Banach spaces”, Nonlinear analysis: stability, approximation, and inequalities, in honor of Themistocles M. Rassias on the occasion of his 60-th birthday, Springer Optim. Appl., 68, Springer-Verlag, Berlin–Heidelberg–New York, 2012, 381–386  mathnet  crossref  mathscinet (cited: 1)  zmath  scopus

102. S. A. Telyakovskii, Lectures on mathematical analysis. Semester II, Lekts. Kursy NOC, 17, Steklov Math. Inst., RAS, Moscow, 2011 , 194 pp.  mathnet  mathnet  crossref  zmath  elib
103. S. A. Telyakovskii, “Estimate of the Simultaneous Approximation of Functions and Their Derivatives by Fourier Sums”, Math. Notes, 90:3 (2011), 464–466  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
104. O. V. Besov, S. V. Bochkarev, B. I. Golubov, A. A. Gonchar, M. I. D'yachenko, V. V. Kozlov, S. V. Konyagin, Yu. V. Malykhin, S. M. Nikol'skii, M. K. Potapov, V. A. Sadovnichii, S. A. Telyakovskii, “Boris Sergeevich Kashin (on his 60th birthday)”, Russian Math. Surveys, 66:4 (2011), 825–828  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
105. Yu. N. Subbotin, S. A. Telyakovskii, “On relative widths of classes of differentiable functions. III”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 3, 2011, 300–302  mathnet  mathscinet  elib
106. V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011), 5–155  mathnet (cited: 1)  mathscinet  zmath
107. O. V. Besov, “Sobolev embedding theorem for anisotropically irregular domains”, Dokl. Math., 83:3 (2011), 367–370  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
108. O. V. Besov, “Sobolev's embedding theorem for anisotropically irregular domains”, Eurasian Math. J., 2:1 (2011), 32–51  mathnet (cited: 3)  mathscinet (cited: 4)  zmath
109. S. I. Pokhozhaev, “Ob otsutstvii globalnykh reshenii uravneniya Kortevega–de Friza”, Uravneniya v chastnykh proizvodnykh, SMFN, 39, RUDN, M., 2011, 141–150  mathnet (cited: 6)  mathscinet (cited: 6)  zmath; S. I. Pohozaev, “On the absence of global solutions of the Korteweg–de Vries equation”, Journal of Mathematical Sciences, 190:1 (2013), 147–156  crossref  mathscinet  zmath  scopus (cited: 4)
110. S. I. Pokhozhaev, “Weighted Identities for the Solutions of Generalized Korteweg–de Vries Equations”, Math. Notes, 89:3 (2011), 382–396  mathnet  crossref  crossref  mathscinet  isi (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)
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