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Poisson kernels and sparse wavelet expansions
Author(s):
Lorenzo
Brandolese
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3345-3353.
MSC (2000):
Primary 42C40, 41A30
Posted:
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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Additional Information:
Lorenzo
Brandolese
Affiliation:
Institut Camille Jordan, Université Lyon 1, 21 avenue Claude Bernard, 69622 Villeurbanne Cedex, France
Email:
brandolese@igd.univ-lyon1.fr
DOI:
10.1090/S0002-9939-05-07893-7
PII:
S 0002-9939(05)07893-7
Keywords:
Besov spaces,
nonlinear approximation
Received by editor(s):
March 22, 2004
Received by editor(s) in revised form:
June 23, 2004
Posted:
June 20, 2005
Communicated by:
David R. Larson
Copyright of article:
Copyright
2005,
American Mathematical Society
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