Nonuniform multiresolution analysis on local fields of positive characteristic

DOI10.1007/s11785-014-0412-0zbMath1331.42043OpenAlexW2074442153MaRDI QIDQ746792

Abdullah, Firdous Ahmad Shah

Publication date: 20 October 2015

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-014-0412-0

zbMATH Keywords

Fourier transformwaveletlocal fieldscaling functionnonuniform multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Other nonanalytic theory (11S85) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (19)

Explicit construction of wavelet frames on locally compact abelian groups ⋮ Frame multiresolution analysis on local fields of positive characteristic ⋮ Nonuniform super wavlets in L^2 (K) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Riesz multiresolution analysis on locally compact abelian groups: construction and exceptions ⋮ Vector valued nonuniform nonstationary wavelets and associated MRA on local fields ⋮ Necessary condition and sufficient conditions for nonuniform wavelet frames in L2(K) ⋮ Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in \(L^2(\mathbb{K})\) ⋮ Construction of nonuniform wavelet frames on non-Archimedean fields ⋮ Inequalities for nonuniform wavelet frames ⋮ ON THE CHARACTERIZATION OF SCALING FUNCTIONS ON NON-ARCHEMEDEAN FIELDS ⋮ Nonuniform wavelet packets on local fields of positive characteristic ⋮ Semi-orthogonal wavelet frames on local fields ⋮ Explicit construction of tight nonuniform framelet packets on local fields ⋮ Nonuniform discrete wavelets on local fields of positive characteristic ⋮ Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform ⋮ Nonuniform multiresolution analysis associated with linear canonical transform ⋮ On generalized inequalities for nonuniform wavelet frames in \(L^2(\mathbb{K})\)

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