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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

2022, Volume 319

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Approximation Theory, Functional Analysis, and Applications


Collected papers. On the occasion of the 70th birthday of Academician Boris Sergeevich Kashin

Boris Sergeevich Kashin (photo)
Three Stages in the Development of Approximation Theory
V. M. Tikhomirov
7
On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions
S. V. Astashkin, P. A. Terekhin
20
On the Sum of a Trigonometric Sine Series with Monotone Coefficients
A. S. Belov
29
Conditions for Embeddings of Sobolev Spaces on a Domain with Anisotropic Peak
O. V. Besov
51
Weak Limits of Consecutive Projections and of Greedy Steps
Petr A. Borodin, Eva Kopecká
64
On the Representation of Measurable Functions by Absolutely Convergent Orthogonal Spline Series
G. G. Gevorkyan
73
Unconditional Convergence of General Fourier Series
L. Gogoladze, V. Tsagareishvili
83
Fourier Transforms of Convolutions of Functions in Lebesgue and Lorentz Spaces
B. I. Golubov, S. S. Volosivets
94
Sampling Discretization of Integral Norms and Its Application
F. Dai, V. N. Temlyakov
106
Piecewise General Monotone Functions and the Hardy–Littlewood Theorem
M. I. Dyachenko, S. Yu. Tikhonov
120
Luzin's Problem on Fourier Convergence and Homeomorphisms
Gady Kozma, Alexander Olevskiĭ
134
On Titchmarsh's Phenomenon in the Theory of the Riemann Zeta Function
S. V. Konyagin, M. A. Korolev
182
Remarks on Sampling Discretization of Integral Norms of Functions
Egor D. Kosov
202
Essay on Kashin's Remarkable 1977 Decomposition Theorem
V. D. Milman
213
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
223
Generalized Markov–Bernstein Inequalities and Stability of Dynamical Systems
Vladimir Yu. Protasov
251
Sidon-Type Inequalities and the Space of Quasi-continuous Functions
Artyom O. Radomskii
268
An Inequality for the Compositions of Convex Functions with Convolutions and an Alternative Proof of the Brunn–Minkowski–Kemperman Inequality
Takashi Satomi
280
Some Porosity-Type Properties of Sets Related to the $d$-Hausdorff Content
A. I. Tyulenev
298
Letter to the Editor: Addition to the Paper “On the Convergence Exponent of Trigonometric Integrals”
I. A. Ikromov
324


© Steklov Math. Inst. of RAS, 2025