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2004 The Walsh transform of wavelet type systems: convergence almost everywhere
Barbara Wolnik
Funct. Approx. Comment. Math. 32: 79-98 (2004). DOI: 10.7169/facm/1538186628

Abstract

The main results of the paper are the following: the Fourier expansion of $f \in L_p$, $1 \lt p \lt \infty$, with respect to the Walsh transform of a wavelet type system converges a.e. to $f$ and if $f \in L_1$ then the same is true for the Cesàro means.

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Barbara Wolnik. "The Walsh transform of wavelet type systems: convergence almost everywhere." Funct. Approx. Comment. Math. 32 79 - 98, 2004. https://doi.org/10.7169/facm/1538186628

Information

Published: 2004
First available in Project Euclid: 29 September 2018

zbMATH: 1089.42016
MathSciNet: MR2109947
Digital Object Identifier: 10.7169/facm/1538186628

Subjects:
Primary: 40A30, 40G05, 42C15
Secondary: 41A15, ‎42C40, 65T60

Rights: Copyright © 2004 Adam Mickiewicz University

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