Weighted Coorbit Spaces and Banach Frames on Homogeneous Spaces
نویسندگان
چکیده
This article is concerned with frame constructions on domains and manifolds. The starting point is a unitary group representation which is square integrable modulo a suitable subgroup and therefore gives rise to a generalized continuous wavelet transform. Then generalized coorbit spaces can be defined by collecting all functions for which this wavelet transform is contained in a weighted Lp-space. Moreover, we show that a judicious discretization of the representation leads to an atomic decomposition and to Banach frames for these coorbit spaces.
منابع مشابه
Frames and Coorbit Theory on Homogeneous Spaces with a Special Guidance on the Sphere
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