Coorbit spaces for dual pairs
Copyright policy )Coorbit spaces for dual pairs
In this paper we present an abstract framework for construction of Banach spaces of distributions from group representations. This generalizes the theory of coorbit spaces initiated by H.G. Feichtinger and K. Gr��chenig in the 1980's. Spaces that can be described by this new technique include the whole Banach-scale of Bergman spaces on the unit disc. For these Bergman spaces we show that atomic decompositions can be constructed through sampling. We further present a wavelet characterization of Besov spaces on the forward light cone.
- Louisiana State University United States
- University of Maryland, Baltimore, MD, USA United States
- University of Maryland, College Park United States
- University of Maryland University College United States
- University of Maryland, College Park United States
coorbit spaces, Gelfand triples, Applied Mathematics, Representation theory of locally compact groups, Coorbit spaces, Other representations of locally compact groups, \(L^p\)-spaces and other function spaces on groups, semigroups, etc., representation theory of locally compact groups, Functional Analysis (math.FA), Mathematics - Functional Analysis, FOS: Mathematics, 43A15;42B35, Function spaces arising in harmonic analysis, 43A15, 42B35
coorbit spaces, Gelfand triples, Applied Mathematics, Representation theory of locally compact groups, Coorbit spaces, Other representations of locally compact groups, \(L^p\)-spaces and other function spaces on groups, semigroups, etc., representation theory of locally compact groups, Functional Analysis (math.FA), Mathematics - Functional Analysis, FOS: Mathematics, 43A15;42B35, Function spaces arising in harmonic analysis, 43A15, 42B35
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