Sidon-type inequalities and the space of quasi-continuous functions

DOI10.1134/S0081543822050170MaRDI QIDQ2685186

Artyom O. Radomskii

Publication date: 20 February 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.10116

zbMATH Keywords

Walsh systemRademacher functionsHadamard matrixRiesz productlacunary sequencetrigonometric polynomial

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Inequalities involving derivatives and differential and integral operators (26D10) Lacunary series of trigonometric and other functions; Riesz products (42A55) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

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• Some trigonometric polynomials with extremally small uniform norm
• On a sequence of trigonometric polynomials
• On a certain norm and related applications
• QC-norm of trigonometric polynomials of special form
• On a Sidon-type inequality for discrete orthonormal systems
• On the possibility of strengthening Sidon-type inequalities
• On nonequivalence of the C- and QC-norms in the space of trigonometric polynomials
• On the Sidon inequality for trigonometric polynomials
• Arithmetic characterizations of Sidon sets
• Some trigonometric polynomials with extremely small uniform norm and their applications

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