Title of article
Decomposition of Besov and Triebel–Lizorkin spaces on the sphere
Author/Authors
F. Narcowich، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
35
From page
530
To page
564
Abstract
A discrete system of almost exponentially localized elements (needlets) on the n-dimensional unit
sphere Sn is constructed. It shown that the needlet system can be used for decomposition of Besov and
Triebel–Lizorkin spaces on the sphere. As an application of Besov spaces on Sn, a Jackson estimate for
nonlinear m-term approximation from the needlet system is obtained.
© 2006 Elsevier Inc. All rights reserved
Keywords
Frame , m-Termapproximation , Besov space , Triebel–Lizorkin space , spherical harmonics , Littlewood–Paley theory
Journal title
Journal of Functional Analysis
Serial Year
2006
Journal title
Journal of Functional Analysis
Record number
839210
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