Volume 319, Issue 1

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December 2022

Approximation Theory, Functional Analysis, and Applications: Special issue dedicated to Boris Sergeevich Kashin on the occasion of the 70th birthday. Issue Editors: S. V. Konyagin, M. I. Dyachenko, V. N. Temlyakov, M. R. Gabdullin, and K. S. Ryutin

20 articles in this issue

Three Stages in the Development of Approximation Theory
V. M. Tikhomirov
Research Articles 15 February 2023 Pages: 1 - 12
On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions
S. V. Astashkin
P. A. Terekhin
Research Articles 15 February 2023 Pages: 13 - 21
On the Sum of a Trigonometric Sine Series with Monotone Coefficients
A. S. Belov
Research Articles 15 February 2023 Pages: 22 - 42
Conditions for Embeddings of Sobolev Spaces on a Domain with Anisotropic Peak
O. V. Besov
Research Articles 15 February 2023 Pages: 43 - 55
Weak Limits of Consecutive Projections and of Greedy Steps
Petr A. Borodin
Eva Kopecká
Research Articles 15 February 2023 Pages: 56 - 63
On the Representation of Measurable Functions by Absolutely Convergent Orthogonal Spline Series
G. G. Gevorkyan
Research Articles 15 February 2023 Pages: 64 - 73
Unconditional Convergence of General Fourier Series
L. Gogoladze
V. Tsagareishvili
Research Articles 15 February 2023 Pages: 74 - 84
Fourier Transforms of Convolutions of Functions in Lebesgue and Lorentz Spaces
B. I. Golubov
S. S. Volosivets
Research Articles 15 February 2023 Pages: 85 - 96
Sampling Discretization of Integral Norms and Its Application
F. Dai
V. N. Temlyakov
Research Articles 15 February 2023 Pages: 97 - 109
Piecewise General Monotone Functions and the Hardy–Littlewood Theorem
M. I. Dyachenko
S. Yu. Tikhonov
Research Articles 15 February 2023 Pages: 110 - 123
Luzin’s Problem on Fourier Convergence and Homeomorphisms
Gady Kozma
Alexander Olevskiĭ
Research Articles 15 February 2023 Pages: 124 - 168
On Titchmarsh’s Phenomenon in the Theory of the Riemann Zeta Function
S. V. Konyagin
M. A. Korolev
Research Articles 15 February 2023 Pages: 169 - 188
Remarks on Sampling Discretization of Integral Norms of Functions
Egor D. Kosov
Research Articles 15 February 2023 Pages: 189 - 199
Essay on Kashin’s Remarkable 1977 Decomposition Theorem
V. D. Milman
Research Articles 15 February 2023 Pages: 200 - 208
Lower Bound on the Minimum Modulus of an Analytic Function on a Circle in Terms of a Negative Power of Its Norm on a Larger Circle
A. Yu. Popov
Research Articles 15 February 2023 Pages: 209 - 236
Generalized Markov–Bernstein Inequalities and Stability of Dynamical Systems
Vladimir Yu. Protasov
Research Articles 15 February 2023 Pages: 237 - 252
Sidon-Type Inequalities and the Space of Quasi-continuous Functions
Artyom O. Radomskii
Research Articles 15 February 2023 Pages: 253 - 264
An Inequality for the Compositions of Convex Functions with Convolutions and an Alternative Proof of the Brunn–Minkowski–Kemperman Inequality
Takashi Satomi
Research Articles 15 February 2023 Pages: 265 - 282
Some Porosity-Type Properties of Sets Related to the \(d\)-Hausdorff Content
A. I. Tyulenev
Research Articles 15 February 2023 Pages: 283 - 306
Letter to the Editor: Addition to the Paper “On the Convergence Exponent of Trigonometric Integrals”
I. A. Ikromov
Research Articles 15 February 2023 Pages: 307 - 310

Volume 319, Issue 1

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