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International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin
(September 5–11, 2021, Golden Ring Hotel, Moscow, Smolenskaya street, 5)

Financial support. The event is supported by the Simons Foundation and the Ministry of Science and Higher Education of the Russian Federation (the grant to the Steklov International Mathematical Center, Agreement no. 075-15-2019-1614).

E-mail:
Website: http://approx-lab.math.msu.su/sbs100.html

Program

Abstracts

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Program Committee
Berdyshev Vitalii Ivanovich (Co-chairman)
Kashin Boris Sergeevich (Co-chairman)
Antonov Nikolai Yur'evich
Arestov Vitalii Vladimirovich
Besov Oleg Vladimirovich
Chernykh Nikolai Ivanovich
Ivanov Valerii Ivanovich
Kholshchevnikova Natal'ya Nikolaevna
Konyagin Sergei Vladimirovich
Sendov Blagovest Hristov
Shadrin Aleksey Yur'evich
Temlyakov Vladimir Nikolaevich
Tsar'kov Igor' Germanovich

Organizing Committee
Konyagin Sergei Vladimirovich (Co-chairman)
Temlyakov Vladimir Nikolaevich (Co-chairman)
Treschev Dmitry Valerevich (Co-chairman)
Malykhin Yuri Viatcheslavovich (Vice-chairman)
Goryainova Oksana Sergeevna (Executive Secretary)
Andreev Nikolai Nikolaevich
Gabdullin Mikhail Rashidovich
Kudryavtseva Olga Sergeevna
Podolskii Vladimir Evgen'evich
Ryutin Konstantin Sergeevich
Shadrin Aleksey Yur'evich
Solodov Aleksei Petrovich

Institutions
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Steklov International Mathematical Center
Laboratory "Multidimensional Approximation and Applications", Lomonosov Moscow State University, Moscow


International Conference "Approximation Theory and Applications" Dedicated to the 100th Anniversary S. B. Stechkin, Moscow, Smolenskaya street, 5, September 5–11, 2021

September 6, 2021 (Mon)
1. Opening of the conference
September 6, 2021 09:50–10:00, Moscow, Smolenskaya street, 5, Golden Ring Hotel
2. On some papers of S. B. Stechkin
S. V. Konyagin
September 6, 2021 10:00–10:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
3. Approximation Theory and S. B. Stechkin's works
V. M. Tikhomirov
September 6, 2021 11:00–11:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
4. Sharp constants in the estimates of the sums of sine series with monotone convex coefficients
A. Yu. Popov
September 6, 2021 15:00–15:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
5. Stability of minimization problems and the error bound conditions in the Hilbert space
M. V. Balashov
September 6, 2021 15:30–15:55, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
6. On the rate of convergence of Fourier sums of continuous functions with constraints on the fractality of their graphs
N. Yu. Antonov
September 6, 2021 15:55–16:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
7. Integer decomposition of elements of the spaces $L_p$​ in Fourier type series on systems of contractions and shifts of one function
V. I. Filippov
September 6, 2021 16:20–16:45, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
8. Uniqueness for rearrangements of the trigonometric system
M. G. Plotnikov
September 6, 2021 17:05–17:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
9. Approximations on Classes of Poisson Integrals by Fourier-Chebyshev Rational Integral Operators
P. G. Potseiko
September 6, 2021 17:55–18:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
10. Stechkin's problem on the classes of analytic functions
R. R. Akopyan
September 6, 2021 18:20–18:45, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  

September 7, 2021 (Tue)
11. On stable reconstruction of analytic functions from selected Fourier samples
A. Yu. Shadrin
September 7, 2021 10:00–10:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
12. S. B. Stechkin's inequalities in approximation theory: the key estimation and pairwise equivalency
N. A. Ilyasov
September 7, 2021 11:00–11:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
13. Interpolation by rational functions: several intervals; several variables
A. L. Lukashov
September 7, 2021 12:30–13:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
14. Existence and structure of universal functions in different sense
M. G. Grigoryan
September 7, 2021 15:00–15:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
15. Application of subdivision schemes to a problem of number theory
V. Yu. Protasov
September 7, 2021 16:00–16:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
16. Some results and problems in dyadic harmonic analysis
B. I. Golubov
September 7, 2021 16:30–16:55, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
17. Wavelet approximation in Orlicz spaces
M. A. Skopina
September 7, 2021 17:15–17:40, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
18. On Fourier series in orthogonal Sobolev's polynomials
B. P. Osilenker
September 7, 2021 17:40–18:05, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
19. The asymptotic of the sums of cosine-series with fractionely monotone coefficients near the origin
M. I. Dyachenko
September 7, 2021 18:05–18:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
20. Solving the Delsarte problems for spherical designs by the Arestov-Babenko method
D. V. Gorbachev
September 7, 2021 18:30–18:55, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
21. Besov spaces with generalized smoothness and summability of multiple Fourier series
S. Yu. Artamonov
September 7, 2021 18:55–19:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  

September 8, 2021 (Wed)
22. The movement of an object and an unfriendly observer
V. I. Berdyshev
September 8, 2021 10:00–10:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
23. Fenton's sum of translates approach for classical minimax questions of approximation theory
S. Révész
September 8, 2021 11:00–11:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
24. Approximation of invariant operators
V. V. Arestov
September 8, 2021 12:30–13:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
25. Banach limits and applications
E. M. Semenov
September 8, 2021 14:30–15:00, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
26. Approximating convex sets by simpler convex sets
E. Kopecká
September 8, 2021 15:00–15:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
27. $k$-moothness of operators
K. Paul
September 8, 2021 15:30–15:55, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
28. On some inequalities for multiplicative sequences of functions
G. A. Karagulyan
September 8, 2021 16:10–16:40, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
29. Tight wavelet frames in zero dimensional groups
S. F. Lukomskii
September 8, 2021 16:40–17:05, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
30. Translation invariant version of little Grothendieck theorem for Sobolev spaces
K. Kazaniecki
September 8, 2021 17:05–17:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
31. The Haar basis in classical smoothness spaces
G. Garrigós
September 8, 2021 17:45–18:35, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
32. Flat Littlewood polynomials exist
J. Sahasrabudhe
September 8, 2021 18:45–19:35, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  

September 9, 2021 (Thu)
33. The Fatou property for general approximate identities on metric measure spaces
V. G. Krotov
September 9, 2021 10:00–10:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
34. On some control problems and approximation of sets in these problems
V. N. Ushakov
September 9, 2021 11:00–11:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
35. Caustics, Mach disks, application to astrophysics
I. G. Tsar'kov
September 9, 2021 12:30–13:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
36. Existence and uniqueness of the nearest and farthest points of two subsets of a Banach space
G. E. Ivanov
September 9, 2021 15:00–15:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
37. Some solar problems in $\max$- and $\min$-approximation
A. R. Alimov
September 9, 2021 15:30–16:00, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
38. Construction of rectifiable curves in proximally smooth sets
M. S. Lopushanski
September 9, 2021 16:00–16:25, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
39. On Chebyshev and monotone path-connected sets
B. B. Bednov
September 9, 2021 16:25–16:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
40. Convex hull of a set in terms of metric projection
K. S. Shklyaev
September 9, 2021 17:10–17:35, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
41. An example of a Banach space with non-Lipschitzian metric projection on any straight line
L. Sh. Burusheva
September 9, 2021 17:35–18:00, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  

September 10, 2021 (Fri)
42. On the Fourier series and Fourier transforms
R. M. Trigub
September 10, 2021 10:00–10:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
43. Weighted inequalities in Dunkl harmonic analysis
V. I. Ivanov
September 10, 2021 11:00–11:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
44. Convergence of interpolation processes and conditionality of systems of equations for spline construction in the general problem of spline interpolation
Yu. S. Volkov
September 10, 2021 12:30–13:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
45. On the optimal constants in the two-sided Stechkin inequalities
T. Jahn
September 10, 2021 13:20–13:45, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
46. Uniqueness theorems for simple trigonometric series and its application to multiple series
G. G. Gevorkyan
September 10, 2021 14:30–15:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
47. $S$-numbers of embeddings of weighted Wiener classes
W. Sickel
September 10, 2021 15:30–16:00, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
48. Tree Based Tensor Networks (HT/TT) for the numerical solution of non-linear partial differential equations
R. Schneider
September 10, 2021 16:00–16:25, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
49. Turán's inequality, inverse to Markov's inequality, for compact sets in the complex plane
P. Yu. Glazyrina
September 10, 2021 16:25–16:50, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
50. Orthogonality and best approximations in Banach spaces
D. Sain
September 10, 2021 17:05–17:30, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
51. Bhatia-Semrl Property of a bounded linear operator
A. Ray
September 10, 2021 17:30–17:55, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
52. Strong proximinality in Banach spaces
S. Gupta
September 10, 2021 17:55–18:20, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
53. Differentiability of distance function and the proximinal condition implying convexity
T. Nath
September 10, 2021 18:20–18:45, Moscow, Smolenskaya street, 5, Golden Ring Hotel
  
 
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