On orthogonal \(p\)-adic wavelet bases

DOI10.1016/j.jmaa.2014.11.061zbMath1304.42087arXiv1312.7009OpenAlexW2917160921MaRDI QIDQ482735

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7009

zbMATH Keywords

Haar multiresolution analysis\(p\)-adic fieldorthogonal wavelet basis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (12)

Shift systems in local fields of zero characteristic ⋮ On biorthogonal \(p\)-adic wavelet bases ⋮ Multi-window dilation-and-modulation frames on the half real line ⋮ On non-compactly supported \(p\)-adic wavelets ⋮ Explicit construction of wavelet frames on locally compact abelian groups ⋮ Weak nonhomogeneous wavelet dual frames for Walsh reducing subspace of L2(ℝ+) ⋮ Frame multiresolution analysis on \({\mathbb{Q}}_p\) ⋮ On \(p\)-adic tight wavelet frames ⋮ Step wavelets on Vilenkin groups ⋮ A survey on the time-frequency analysis on the half real line ⋮ Discrete wavelet transforms in Walsh analysis ⋮ Fast discrete Fourier transform on local fields of zero characteristic

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