Trudy Mat. Inst. Steklova, 2022, Volume 319

Trudy Matematicheskogo Instituta imeni V.A. Steklova

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2022, Volume 319

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Contents

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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		7–19
	On Quasibases and Bases of Symmetric Spaces Consisting of Nonnegative Functions S. V. Astashkin, P. A. Terekhin		20–28
	On the Sum of a Trigonometric Sine Series with Monotone Coefficients A. S. Belov		29–50
	Conditions for Embeddings of Sobolev Spaces on a Domain with Anisotropic Peak O. V. Besov		51–63
	Weak Limits of Consecutive Projections and of Greedy Steps Petr A. Borodin, Eva Kopecká		64–72
	On the Representation of Measurable Functions by Absolutely Convergent Orthogonal Spline Series G. G. Gevorkyan		73–82
	Unconditional Convergence of General Fourier Series L. Gogoladze, V. Tsagareishvili		83–93
	Fourier Transforms of Convolutions of Functions in Lebesgue and Lorentz Spaces B. I. Golubov, S. S. Volosivets		94–105
	Sampling Discretization of Integral Norms and Its Application F. Dai, V. N. Temlyakov		106–119
	Piecewise General Monotone Functions and the Hardy–Littlewood Theorem M. I. Dyachenko, S. Yu. Tikhonov		120–133
	Luzin's Problem on Fourier Convergence and Homeomorphisms Gady Kozma, Alexander Olevskiĭ		134–181
	On Titchmarsh's Phenomenon in the Theory of the Riemann Zeta Function S. V. Konyagin, M. A. Korolev		182–201
	Remarks on Sampling Discretization of Integral Norms of Functions Egor D. Kosov		202–212
	Essay on Kashin's Remarkable 1977 Decomposition Theorem V. D. Milman		213–222
	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		223–250
	Generalized Markov–Bernstein Inequalities and Stability of Dynamical Systems Vladimir Yu. Protasov		251–267
	Sidon-Type Inequalities and the Space of Quasi-continuous Functions Artyom O. Radomskii		268–279
	An Inequality for the Compositions of Convex Functions with Convolutions and an Alternative Proof of the Brunn–Minkowski–Kemperman Inequality Takashi Satomi		280–297
	Some Porosity-Type Properties of Sets Related to the $d$-Hausdorff Content A. I. Tyulenev		298–323
	Letter to the Editor: Addition to the Paper “On the Convergence Exponent of Trigonometric Integrals” I. A. Ikromov		324–327

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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