Discrete Quaternionic (Multi-window) Gabor Systems
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DOI: 10.1007/s11868-025-00742-2
Abstract: The aim of this work is to study (Multi-window) Gabor systems in the space ℓ2(Z×Z,H)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell ^2(\mathbb {Z} \times \mathbb {Z}, \mathbb {H})$$\end{document}, denoted by G(g,L,M,N)\documentclass[12pt]{minimal} \usepackage{amsmath}… read more here.
Keywords: gabor systems; 12pt minimal; documentclass 12pt; document ... See more keywords
Orthogonal Gabor systems on local fields
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DOI: 10.2298/fil1716193s
Abstract: The objective of this paper is to provide complete characterizations of orthogonal families, tight frames and orthonormal bases of Gabor systems on local fields of positive characteristic by means of some basic equations in the… read more here.
Keywords: gabor systems; local fields; systems local; orthogonal gabor ... See more keywords