Zonal function network frames on the sphere Academic Article uri icon

abstract

  • We introduce a class of zonal function network frames suitable for analyzing data collected at scattered sites on the surface of the unit sphere of a Euclidean space. Our frames consist of zonal function networks and are well localized. The frames belonging to higher and higher scale wavelet spaces have more and more vanishing polynomial moments. The main technique is applicable in the general setting of separable Hilbert spaces, in which context, we study the construction of new frames by perturbing an orthonormal basis.

author list (cited authors)

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

citation count

  • 9

publication date

  • March 2003