From Weyl-Heisenberg Frames to Infinite Quadratic Forms

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dc.creatorGuo, Xunxiang
dc.creatorDiao, Yuanan
dc.creatorDai, Xingde
dc.date2005-07-08
dc.date.accessioned2026-07-07T05:21:33Z
dc.date.available2026-07-07T05:21:33Z
dc.descriptionLet $a$, $b$ be two fixed positive constants. A function $g\in L^2({\mathbb R})$ is called a \textit{mother Weyl-Heisenberg frame wavelet} for $(a,b)$ if $g$ generates a frame for $L^2({\mathbb R})$ under modulates by $b$ and translates by $a$, i.e., $\{e^{imbt}g(t-na\}_{m,n\in\mathbb{Z}}$ is a frame for $L^2(\mathbb{R})$. In this paper, we establish a connection between mother Weyl-Heisenberg frame wavelets of certain special forms and certain strongly positive definite quadratic forms of infinite dimension. Some examples of application in matrix algebra are provided.
dc.identifierhttps://arxiv.org/abs/math/0507185
dc.identifierhttp://arxiv.org/abs/math/0507185
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75729
dc.subjectFunctional Analysis
dc.subject42C99
dc.titleFrom Weyl-Heisenberg Frames to Infinite Quadratic Forms
dc.typetext

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