Title of article
On the equivalence of brushlet and wavelet bases ✩
Author/Authors
Lasse Borup، نويسنده , , Morten Nielsen 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
19
From page
117
To page
135
Abstract
We prove that the Meyer wavelet basis and a class of brushlet systems associated with exponential
type partitions of the frequency axis form a family of equivalent (unconditional) bases for the
Besov and Triebel–Lizorkin function spaces. This equivalence is then used to obtain new results on
nonlinear approximation with brushlets in Triebel–Lizorkin spaces.
2004 Elsevier Inc. All rights reserved.
Keywords
wavelets , Brushlets , Equivalent bases , Triebel–Lizorkin space , Besov space , nonlinearapproximation
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
934016
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