Gabor frames on non-Archimedean fields

DOI10.1142/S0219887818500792zbMath1386.42021OpenAlexW2780552742MaRDI QIDQ4635343

Owais Ahmad, Neyaz Ahmad Sheikh, Firdous Ahmad Shah

Publication date: 16 April 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500792

zbMATH Keywords

Gabor framenon-Archimedean fieldperiodic setParseval frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Non-Archimedean analysis (26E30) Positive characteristic ground fields in algebraic geometry (14G17) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (13)

Frames associated with shift-invariant spaces on local fields ⋮ Unnamed Item ⋮ Characterization of tight wavelet frames with composite dilations in L2(Rn) ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ Vector valued nonuniform nonstationary wavelets and associated MRA on local fields ⋮ Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in \(L^2(\mathbb{K})\) ⋮ Construction of nonuniform wavelet frames on non-Archimedean fields ⋮ Construction of nonuniform periodic wavelet frames on non-Archimedean fields ⋮ Time-frequency analysis on the adeles over the rationals ⋮ Inequalities for wavelet frames with composite dilations in \(L^2(\mathbb{R}^n)\) ⋮ Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform ⋮ Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic ⋮ On generalized inequalities for nonuniform wavelet frames in \(L^2(\mathbb{K})\)

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