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2004 The Walsh transform of wavelet type systems: divergence almost everywhere
Anna Kamont, Barbara Wolnik
Funct. Approx. Comment. Math. 32: 57-66 (2004). DOI: 10.7169/facm/1538186625

Abstract

The main result of the paper is the following: for the Walsh transform of a wavelet type system on [0, l], there is an integrable function whose Fourier expansion with respect to the transformed system is divergent almost everywhere on [0, l]. This is an extension of the result by K. S. Kazarian and A. S. Sargsian [9] for the bounded Ciesielski system, i.e. the Walsh transform of the Franklin system.

Citation

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Anna Kamont. Barbara Wolnik. "The Walsh transform of wavelet type systems: divergence almost everywhere." Funct. Approx. Comment. Math. 32 57 - 66, 2004. https://doi.org/10.7169/facm/1538186625

Information

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

zbMATH: 1089.42014
MathSciNet: MR2109944
Digital Object Identifier: 10.7169/facm/1538186625

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

Rights: Copyright © 2004 Adam Mickiewicz University

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