Density of frame wavelets and tight frame wavelets in local fields

DOI10.1007/s11785-021-01149-9zbMath1482.43008OpenAlexW3190618518MaRDI QIDQ1981894

Biswaranjan Behera

Publication date: 7 September 2021

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

Full work available at URL: https://doi.org/10.1007/s11785-021-01149-9

zbMATH Keywords

waveletlocal fieldParseval frameBessel wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Analysis on specific locally compact and other abelian groups (43A70) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (1)

Frame wavelets of local fields with no dual wavelet frames

Cites Work

• The necessary condition and sufficient conditions for wavelet frame on local fields
• The closure of the set of tight frame wavelets
• On the orthogonality of frames and the density and connectivity of wavelet frames
• Connectivity and density in the set of framelets
• Characterization of wavelets and MRA wavelets on local fields of positive characteristic
• Density of the set of generators of wavelet systems
• Multiresolution analysis on local fields and characterization of scaling functions
• Biorthogonal bases of compactly supported wavelets
• Fourier Analysis on Local Fields. (MN-15)
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