Polynomial frames on the sphere

H. N. Mhaskar; F. J. Narcowich; J. Prestin; J. D. Ward

doi:10.1023/A:1016639802349

Polynomial frames on the sphere

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

^*Corresponding author for this work

Institute of Mathematics

26 Citations (Scopus)

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 L^p norms. The frames belonging to higher and higher scale wavelet spaces have more and more vanishing moments.

Original language	English
Journal	Advances in Computational Mathematics
Volume	13
Issue number	4
Pages (from-to)	387-403
Number of pages	17
ISSN	1019-7168
DOIs	https://doi.org/10.1023/A:1016639802349
Publication status	Published - 01.01.2000

Access to Document

10.1023/A:1016639802349

Cite this

@article{991f7b2bc4e04f04bca8dc39ee446dca,

title = "Polynomial frames on the sphere",

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 = "Mhaskar, {H. N.} and Narcowich, {F. J.} and J. Prestin and Ward, {J. D.}",

year = "2000",

month = jan,

day = "1",

doi = "10.1023/A:1016639802349",

language = "English",

volume = "13",

pages = "387--403",

journal = "Advances in Computational Mathematics",

issn = "1019-7168",

number = "4",

}

TY - JOUR

T1 - Polynomial frames on the sphere

AU - Mhaskar, H. N.

AU - Narcowich, F. J.

AU - Prestin, J.

AU - Ward, J. D.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034563828&partnerID=8YFLogxK

U2 - 10.1023/A:1016639802349

DO - 10.1023/A:1016639802349

M3 - Journal articles

AN - SCOPUS:0034563828

SN - 1019-7168

VL - 13

SP - 387

EP - 403

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 4

ER -

Polynomial frames on the sphere

Abstract

Access to Document

Other files and links

Fingerprint

Cite this