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

Trudy Mat. Inst. Steklova, 2022 Volume 319, Pages 268–279 (Mi tm4256)

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

Artyom O. Radomskiiab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b HSE University, Pokrovskii bul. 11, Moscow, 109028 Russia

Abstract: We discuss various results on Sidon-type inequalities and on the space of quasi-continuous functions.

Keywords: trigonometric polynomial, lacunary sequence, Riesz product, Rademacher functions, Walsh system, Hadamard matrix.

UDC: 517.518

Received: November 12, 2021
Revised: January 18, 2022
Accepted: January 29, 2022

DOI: 10.4213/tm4256


 English version:
Proceedings of the Steklov Institute of Mathematics, 2022, 319, 253–264

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© Steklov Math. Inst. of RAS, 2025