Orthogonal Wavelet Bases on Generalized Vilenkin Groups

Wavelet systems on the generalized Vilenkin groups are considered. An algorithmic method for the construction of orthogonal wavelet bases is presented. These bases consist of compactly supported test functions (i.e. functions whose Fourier transform is also compactly supported).

Publication Details

Journal
ArXiv.org
Published
2025-06-21
Primary Topic
Mathematical Analysis and Transform Methods
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article
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article

Orthogonal Wavelet Bases on Generalized Vilenkin Groups

ArXiv.org
Mathematical Analysis and Transform Methods
article

Orthogonal Wavelet Bases on Generalized Vilenkin Groups

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Abstract

Wavelet systems on the generalized Vilenkin groups are considered. An algorithmic method for the construction of orthogonal wavelet bases is presented. These bases consist of compactly supported test functions (i.e. functions whose Fourier transform is also compactly supported).

ArXiv.org
Openalex Percentile: Top 39%
Mathematical Analysis and Transform Methods
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Orthogonal Wavelet Bases on Generalized Vilenkin Groups · ArXiv.org (2025) | TGRS Research Map | TGRS