Decomposition of Besov and TriebelLizorkin spaces on the sphere
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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.
Journal of Functional Analysis
author list (cited authors)
Narcowich, F., Petrushev, P., & Ward, J.
complete list of authors
Narcowich, F||Petrushev, P||Ward, J