Polynomial frames on the sphere uri icon

abstract

  • We introduce a class of polynomial frames suitable for analyzing data on the surface of the unit sphere of a Euclidean space. Our frames consist of polynomials, but are well localized, and are stable with respect to all the Lp norms. The frames belonging to higher and higher scale wavelet spaces have more and more vanishing moments.

published proceedings

  • ADVANCES IN COMPUTATIONAL MATHEMATICS

author list (cited authors)

  • Mhaskar, H. N., Narcowich, F. J., Prestin, J., & Ward, J. D.

citation count

  • 25

complete list of authors

  • Mhaskar, HN||Narcowich, FJ||Prestin, J||Ward, JD

publication date

  • December 2000