Describing functions: Atomic decompositions versus frames |
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| Authors: | Karlheinz Gröchenig |
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| Institution: | (1) Department of Mathematics U-9, University of Connecticut, 06269-3009 Storrs, CT, USA |
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| Abstract: | The theory of frames and non-orthogonal series expansions with respect to coherent states is extended to a general class of spaces, the so-called coorbit spaces. Special cases include wavelet expansions for the Besov-Triebel-Lizorkin spaces, Gabortype expansions for modulation spaces, and sampling theorems for wavelet and Gabor transforms. |
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