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Poisson kernels and sparse wavelet expansions
Authors:Lorenzo Brandolese
Affiliation:Institut Camille Jordan, Université Lyon 1, 21 avenue Claude Bernard, 69622 Villeurbanne Cedex, France
Abstract:We give a new characterization of a family of homogeneous Besov spaces by means of atomic decompositions involving poorly localized building blocks. Our main tool is an algorithm for expanding a wavelet into a series of dilated and translated Poisson kernels.

Keywords:Besov spaces   nonlinear approximation
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