Invertibility of the Gabor frame operator on the Wiener amalgam space

Simple item page
dc.creatorKrishtal, Ilya A.
dc.creatorOkoudjou, Kasso A.
dc.date2007-05-09
dc.date.accessioned2026-07-07T08:00:25Z
dc.date.available2026-07-07T08:00:25Z
dc.descriptionWe use a generalization of Wiener's $1/f$ theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space $W(L^{\infty}, \ell^{1}_ν)(\mathbb{R}^{d})$, the corresponding frame operator is invertible on this space. Therefore, for such a Gabor frame, the generator of the canonical dual belongs also to $W(L^{\infty}, \ell^{1}_ν)(\mathbb{R}^{d}) $
dc.identifierhttps://arxiv.org/abs/0705.1335
dc.identifierhttp://arxiv.org/abs/0705.1335
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128664
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject42C15; 42A65; 47B38
dc.titleInvertibility of the Gabor frame operator on the Wiener amalgam space
dc.typetext

Files

Collections

arXiv