This article is cited in 6 papers

On universal (in the sense of signs) Fourier series with respect to the Walsh system

M. G. Grigoryan

Yerevan State University, Yerevan, Republic of Armenia

Abstract: We study the problem of the existence of (universal) functions whose Fourier–Walsh series are universal in the sense of signs in the class of almost finite measurable functions.
Bibliography: 34 titles.

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

MSC: 42B05, 42B08

Received: 22.10.2023 and 26.02.2024

DOI: 10.4213/sm10014

 English version: Sbornik: Mathematics, 2024, 215:6, 717–742

Bibliographic databases:

• 
• 
• 
• 
•