Polynomial frames on the sphere

H. N. Mhaskar*, F. J. Narcowich, J. Prestin, J. D. Ward

*Corresponding author for this work
26 Citations (Scopus)


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.

Original languageEnglish
JournalAdvances in Computational Mathematics
Issue number4
Pages (from-to)387-403
Number of pages17
Publication statusPublished - 01.01.2000


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