Poisson kernels and sparse wavelet expansions

Brandolese, Lorenzo

doi:10.1090/S0002-9939-05-07893-7

Poisson kernels and sparse wavelet expansions
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by Lorenzo Brandolese

Proc. Amer. Math. Soc. 133 (2005), 3345-3353

DOI: https://doi.org/10.1090/S0002-9939-05-07893-7

Published electronically: June 20, 2005

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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.

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