Orthogonal Wavelet Bases on Generalized Vilenkin Groups

2025/06/21 by Babushkin, M., Skopina, M.
#42C10 #42C15 #42C40 #43A70 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2506.17677

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).

Citations

• Step wavelets on Vilenkin groups
• Wavelet frames on Vilenkin groups and their approximation properties
• Step refinable functions and orthogonal MRA on p-adic Vilenkin groups

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