On the existence of universal series by the generalized Walsh system

DOI10.1215/17358787-3589331zbMath1436.42032OpenAlexW2336083710MaRDI QIDQ277371

Sergo A. Episkoposian

Publication date: 29 April 2016

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1461091167

zbMATH Keywords

weighted spacegeneralized Walsh systemuniversal series

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Completeness of sets of functions in one variable harmonic analysis (42A65)

Cites Work

• Unnamed Item
• \(L^1\)-convergence of greedy algorithm by generalized Walsh system
• Representation of functions in the weighted space \(L^1_{\mu}\) by trigonometric and Walsh series
• On the existence of universal series by trigonometric system
• A class of generalized Walsh functions
• On generalized Walsh Fourier series, I
• On greedy algorithms with respect to generalized Walsh system
• Mean Convergence of Generalized Walsh-Fourier Series
• On the representation of functions by orthogonal series in weighted $L^p$ spaces
• A Remarkable Series of Orthogonal Functions (II)
• On a class of complete orthonormal systems
• The Generalized Walsh Functions

This page was built for publication: On the existence of universal series by the generalized Walsh system