Vol. 319, No. 1, 2022

Proceedings of the Steklov Institute of Mathematics

Three Stages in the Development of Approximation Theory

V. M. Tikhomirov p. 1 abstract

On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions

S. V. Astashkin, and P. A. Terekhin p. 13 abstract

On the Sum of a Trigonometric Sine Series with Monotone Coefficients

A. S. Belov p. 22 abstract

Conditions for Embeddings of Sobolev Spaces on a Domain with Anisotropic Peak

O. V. Besov p. 43 abstract

Weak Limits of Consecutive Projections and of Greedy Steps

Petr A. Borodin, and Eva Kopeck+� p. 56 abstract

On the Representation of Measurable Functions by Absolutely Convergent Orthogonal Spline Series

G. G. Gevorkyan p. 64 abstract

Unconditional Convergence of General Fourier Series

L. Gogoladze, and V. Tsagareishvili p. 74 abstract

Fourier Transforms of Convolutions of Functions in Lebesgue and Lorentz Spaces

B. I. Golubov, and S. S. Volosivets p. 85 abstract

Sampling Discretization of Integral Norms and Its Application

F. Dai, and V. N. Temlyakov p. 97 abstract

Piecewise General Monotone Functions and the Hardy–Littlewood Theorem

M. I. Dyachenko, and S. Yu. Tikhonov p. 110 abstract

Luzin’s Problem on Fourier Convergence and Homeomorphisms

Gady Kozma, and Alexander Olevski-� p. 124 abstract

On Titchmarsh’s Phenomenon in the Theory of the Riemann Zeta Function

S. V. Konyagin, and M. A. Korolev p. 169 abstract

Remarks on Sampling Discretization of Integral Norms of Functions

Egor D. Kosov p. 189 abstract

Essay on Kashin’s Remarkable 1977 Decomposition Theorem

V. D. Milman p. 200 abstract

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 p. 209 abstract

Generalized Markov–Bernstein Inequalities and Stability of Dynamical Systems

Vladimir Yu. Protasov p. 237 abstract

Sidon-Type Inequalities and the Space of Quasi-continuous Functions

Artyom O. Radomskii p. 253 abstract

An Inequality for the Compositions of Convex Functions with Convolutions and an Alternative Proof of the Brunn–Minkowski–Kemperman Inequality

Takashi Satomi p. 265 abstract

Some Porosity-Type Properties of Sets Related to the \(d\)-Hausdorff Content

A. I. Tyulenev p. 283 abstract

Letter to the Editor: Addition to the Paper “On the Convergence Exponent of Trigonometric Integrals”

I. A. Ikromov p. 307 abstract