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Polynomial frames on the sphere

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

*Korrespondierende/r Autor/-in für diese Arbeit

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.

OriginalspracheEnglisch
ZeitschriftAdvances in Computational Mathematics
Jahrgang13
Ausgabenummer4
Seiten (von - bis)387-403
Seitenumfang17
ISSN1019-7168
DOIs
PublikationsstatusVeröffentlicht - 01.01.2000

Fördermittel

∗The research of this author was supported, in part, by grant DMS-9971846 from the National Science Foundation. ∗∗Research of these authors was sponsored by the Air Force Office of Scientific Research, Air Force Materiel Command, USAF, under grant number F49620-98-1-0204. The U.S. Government is authorized to reproduce and distribute reprints for Governmental purposes notwithstanding any copyright notation thereon. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U.S. Government. J.D.W. was also supported in part by NSF grant number DMS-9971276.

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