Localized tight frames on spheres Academic Article uri icon

abstract

  • In this paper we wish to present a new class of tight frames on the sphere. These frames have excellent pointwise localization and approximation properties. These properties are based on pointwise localization of kernels arising in the spectral calculus for certain self-adjoint operators, and on a positive-weight quadrature formula for the sphere that the authors have recently developed. Improved bounds on the weights in this formula are another by-product of our analysis. 2006 Society for Industrial and Applied Mathematics.

published proceedings

  • SIAM JOURNAL ON MATHEMATICAL ANALYSIS

author list (cited authors)

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

citation count

  • 212

complete list of authors

  • Narcowich, FJ||Petrushev, P||Ward, JD

publication date

  • January 1, 2006 11:11 AM