Anisotropic wavelet bases and thresholding
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In: Mathematische Nachrichten, Vol. 280, No. 5-6, 2007, p. 523-533.
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - Anisotropic wavelet bases and thresholding
AU - Hochmuth, Reinhard
PY - 2007
Y1 - 2007
N2 - We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces H p a for p > 0, which are known to be equal to L p for p > 1. In particular, we characterize those functions that provide a specific convergence rate by intrinsic smoothness properties. To this end we apply restricted nonlinear approximation, see [3], which is a generalization of n-term approximation in which a weight function is used to control the terms of the approximations.
AB - We consider thresholding with respect to anisotropic wavelet bases measuring the approximation error in anisotropic Hardy spaces H p a for p > 0, which are known to be equal to L p for p > 1. In particular, we characterize those functions that provide a specific convergence rate by intrinsic smoothness properties. To this end we apply restricted nonlinear approximation, see [3], which is a generalization of n-term approximation in which a weight function is used to control the terms of the approximations.
KW - Mathematics
KW - Anisotropic besov spaces
KW - Anisotropic Hardy spaces
KW - Anisotropic wavelet bases
KW - Nonlinear approximation
KW - Restricted nonlinear approximation
KW - Thresholding
KW - Wavelet shrinkage
UR - http://www.scopus.com/inward/record.url?scp=34247219773&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/ab9c7d13-c300-33c7-a014-b1cc6100111b/
U2 - 10.1002/mana.200410500
DO - 10.1002/mana.200410500
M3 - Journal articles
VL - 280
SP - 523
EP - 533
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 1522-2616
IS - 5-6
ER -