Nonlinear approximation with bi-framelets

Lasse Borup, Morten Nielsen, Rémi Gribonval

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Abstrakt

We study the approximation in Lebesgue spaces of wavelet bi-frame systems given by translations and dilations of a finite set of generators. A complete characterization of the approximation spaces associated with best m-term approximation of wavelet bi-framelet systems is given. The characterization depends, in general, on the number of vanishing moments of the generators. However, in some cases it is possible to get rid of this restriction, but at the price of replacing the canonical expansion by another linear expansion. This is done by expanding a suitable wavelet in the wavelet bi-frame system.
OriginalsprogEngelsk
TitelApproximation Theory XI : Gatlinburg 2004
RedaktørerCharles K. Chui, Marian Neamtu, Larry Schumaker
Antal sider12
UdgivelsesstedBrentwood, Tennessee
ForlagNashboro Press
Publikationsdato2005
Sider93-104
ISBN (Trykt)00972848258
StatusUdgivet - 2005

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