The necessary condition and sufficient conditions for wavelet frame on local fields
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Publication:931019
DOI10.1016/j.jmaa.2008.04.031zbMath1152.42008OpenAlexW2026511971MaRDI QIDQ931019
Publication date: 24 June 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.031
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
Related Items (25)
Frames associated with shift-invariant spaces on local fields ⋮ Wave packet frames on local fields of positive characteristic ⋮ How to construct wavelets on local fields of positive characteristic ⋮ Discrete orthogonal and Riesz refinable functions on local fields of positive characteristic ⋮ Wave packet systems on local fields ⋮ Unnamed Item ⋮ Dilation operators in Besov spaces over local fields ⋮ Tight wavelet frames on zero-dimensional groups. Construction and approximation ⋮ A characterization of tight wavelet frames on local fields of positive characteristic ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ 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 ⋮ On orthogonal systems of shifts of scaling function on local fields of positive characteristic ⋮ Gabor frames on non-Archimedean fields ⋮ Density of frame wavelets and tight frame wavelets in local fields ⋮ Non-Haar MRA on local fields of positive characteristic ⋮ ON THE CHARACTERIZATION OF SCALING FUNCTIONS ON NON-ARCHEMEDEAN FIELDS ⋮ On Accuracy of Estimation of the Number of Steps for the Algorithm for Construction of Scaling Function on Local Fields ⋮ Nonuniform multiresolution analysis on local fields of positive characteristic ⋮ Explicit construction of tight nonuniform framelet packets on local fields ⋮ Semi-orthogonal Parseval wavelets associated with GMRAs on local fields of positive characteristic ⋮ Dualwavelet frames in Sobolev spaces on local fields of positive characteristic ⋮ On generalized inequalities for nonuniform wavelet frames in \(L^2(\mathbb{K})\)
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