Tight wavelet frames on local fields
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Publication:2852515
DOI10.1524/anly.2013.1217zbMath1277.42047OpenAlexW1972773636MaRDI QIDQ2852515
Lokenath Debnath, Firdous Ahmad Shah
Publication date: 9 October 2013
Published in: Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1524/anly.2013.1217
multiresolution analysiswaveletlocal fieldscaling functionextension principletight frame\(p\)-series field
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)
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Wave packet frames on local fields of positive characteristic ⋮ Frames and factorization of graph Laplacians ⋮ Polyphase matrix characterization of framelets on local fields of positive characteristic ⋮ Frame multiresolution analysis on local fields of positive characteristic ⋮ Wave packet systems on local fields ⋮ Tight wavelet frames on zero-dimensional groups. Construction and approximation ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ On \(p\)-adic tight wavelet frames ⋮ A characterization of tight wavelet frames on local fields of positive characteristic ⋮ Unnamed Item ⋮ Tight framelet packets on local fields of positive characteristic ⋮ Construction of biorthogonal wavelet packets on local fields of positive characteristic ⋮ Construction of nonuniform periodic wavelet frames on non-Archimedean fields ⋮ Minimum-energy wavelet frames on local fields ⋮ Nonuniform wavelet packets on local fields of positive characteristic ⋮ Semi-orthogonal wavelet frames on local fields ⋮ Nonuniform multiresolution analysis on local fields of positive characteristic ⋮ Explicit construction of tight nonuniform framelet packets on local fields ⋮ Nonuniform discrete wavelets on local fields of positive characteristic ⋮ Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic ⋮ Infinite networks and variation of conductance functions in discrete Laplacians
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