The Walsh transform of wavelet type systems: divergence almost everywhere (Q1769809)
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scientific article; zbMATH DE number 2149317
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Walsh transform of wavelet type systems: divergence almost everywhere |
scientific article; zbMATH DE number 2149317 |
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The Walsh transform of wavelet type systems: divergence almost everywhere (English)
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30 March 2005
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It is proved that there exists an integrable function whose Fourier expansion with respect to the Walsh transform of a wavelet type system is divergent a.e. This is an extension of a result by \textit{K. S. Kazaryan} and \textit{A. S. Sargsyan} [Izv. Akad. Nauk Arm. SSR, Mat. 24, 403--412 (1989; Zbl 0686.42021)] for the bounded Ciesielski system.
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uniformly bounded systems
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wavelet type system
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Walsh transform
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Ciesielski system
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divergence almost everywhere
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