Coorbit Space Theory for Quasi-Banach Spaces

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dc.creatorRauhut, Holger
dc.date2005-07-22
dc.date.accessioned2026-07-07T05:21:55Z
dc.date.available2026-07-07T05:21:55Z
dc.descriptionWe generalize the classical coorbit space theory developed by Feichtinger and Gr"ochenig to quasi-Banach spaces. As a main result we provide atomic decompositions for coorbit spaces defined with respect to quasi-Banach spaces. These atomic decompositions are used to prove fast convergence rates of best $n$-term approximation schemes. We apply the abstract theory to time-frequency analysis of modulation spaces $M^{p,q}_m$, $0< p,q \leq \infty$.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0507466
dc.identifierhttp://arxiv.org/abs/math/0507466
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75869
dc.subjectFunctional Analysis
dc.subject42C15, 42C40, 46A16, 46E10, 46E30
dc.titleCoorbit Space Theory for Quasi-Banach Spaces
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