M. G. Grigoryan, “On the existence and structure of universal functions”, Dokl. RAN. Math. Inf. Proc. Upr., 2021, Volume 496,Pages <nobr>30

This article is cited in 5 papers

MATHEMATICS

On the existence and structure of universal functions

M. G. Grigoryan

Yerevan State University, Yerevan, Armenia

Abstract: The existence of functions the Fourier–Walsh series of which are universal in the sense of signs for the class of almost everywhere finite measurable functions, and the structure of such functions is described.

Keywords: universal functions, Fourier–Walsh series, convergence almost everywhere.

UDC: 517.51

Presented: B. S. Kashin
Received: 27.05.2020
Revised: 14.09.2020
Accepted: 28.11.2020

DOI: 10.31857/S2686954321010057