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FILTERED POLYNOMIAL APPROXIMATION ON THE SPHERE

Part of: Abstract harmonic analysis Numerical approximation and computational geometry Nontrigonometric harmonic analysis

Published online by Cambridge University Press:  27 October 2015

YUGUANG WANG
YUGUANG WANG*
Affiliation:
School of Mathematics and Statistics, UNSW Australia, Sydney, NSW2052, Australia email yuguang.e.wang@gmail.com
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Abstract

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Keywords

polynomialsspherefilterlocalisationneedletsquadrature rules

MSC classification

Primary: 42C40: Wavelets and other special systems
Secondary: 33C55: Spherical harmonics 65D32: Quadrature and cubature formulas 43A90: Spherical functions 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 93 , Issue 1 , February 2016 , pp. 162 - 163
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Narcowich, F., Petrushev, P. and Ward, J., ‘Decomposition of Besov and Triebel–Lizorkin spaces on the sphere’, J. Funct. Anal. 238(2) (2006), 530–564.CrossRefGoogle Scholar
Narcowich, F. J., Petrushev, P. and Ward, J. D., ‘Localized tight frames on spheres’, SIAM J. Math. Anal. 38(2) (2006), 574–594.CrossRefGoogle Scholar