Decomposition of Besov and TriebelLizorkin spaces on the sphere Academic Article

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.

authors

• Narcowich, Francis
• Ward, Joseph

published proceedings

• Journal of Functional Analysis

altmetric score

• 0.5

author list (cited authors)

• Narcowich, F., Petrushev, P., & Ward, J.

citation count

• 108

complete list of authors

• Narcowich, F||Petrushev, P||Ward, J

publication date

• January 2006

publisher

• Elsevier  Publisher

published in

• Journal of Functional Analysis  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jfa.2006.02.011

start page

• 530

end page

• 564

volume

• 238

issue

• 2

URL

• http://dx.doi.org/10.1016/j.jfa.2006.02.011