Decomposition of Besov and TriebelLizorkin spaces on the sphere Academic Article uri icon

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.

published proceedings

  • Journal of Functional Analysis

author list (cited authors)

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

citation count

  • 91

complete list of authors

  • Narcowich, F||Petrushev, P||Ward, J

publication date

  • September 2006