Polynomial frames on the sphere Academic Article 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.

author list (cited authors)

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

citation count

  • 20

publication date

  • December 2000