RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2022 Volume 63, Number 5, Pages 1035–1051 (Mi smj7711)

This article is cited in 3 papers

On universal Fourier series in the Walsh system

M. G. Grigoryan

Yerevan State University

Abstract: We prove some theorems concerning the existence of functions whose Fourier series in the Walsh system are universal in the class of all measurable functions in the sense of signs in the cases of convergence in measure and almost everywhere convergence.

Keywords: universal functions, Walsh system, almost everywhere convergence, convergence in measure, measurable function space.

UDC: 517.51

MSC: 35R30

Received: 17.11.2021
Revised: 10.04.2022
Accepted: 15.04.2022

DOI: 10.33048/smzh.2022.63.506


 English version:
Siberian Mathematical Journal, 2022, 63:5, 868–882


© Steklov Math. Inst. of RAS, 2024