Orthogonal Gabor systems on local fields

DOI10.2298/FIL1716193SzbMath1499.42146OpenAlexW2795299971MaRDI QIDQ5019625

Neyaz Ahmad Sheikh, Owais Ahmad, Firdous Ahmad Shah

Publication date: 10 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1716193s

zbMATH Keywords

Fourier transformlocal fieldGabor 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) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (5)

Frames associated with shift-invariant spaces on local fields ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ Unnamed Item ⋮ Construction of nonuniform periodic wavelet frames on non-Archimedean fields ⋮ Inequalities for wavelet frames with composite dilations in \(L^2(\mathbb{R}^n)\)

Cites Work

• Wave packet frames on local fields of positive characteristic
• Gabor frames on local fields of positive characteristic
• Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
• Foundations of time-frequency analysis
• Gabor frames on a half-line
• Basic results of Gabor frame on local fields
• Note on B-splines, wavelet scaling functions, and gabor frames
• Fourier Analysis on Local Fields. (MN-15)

This page was built for publication: Orthogonal Gabor systems on local fields