Localized Tight Frames on Spheres
Authors:
- F. J. NarcowichFNF. J. Narcowich
- P. PetrushevPPP. Petrushev
- J. D. WardJWJ. D. Ward
Top Cited Papers
- 1 January 2006
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 38 (2) , 574-594
Abstract
In this paper we wish to present a new class of tight frames on the sphere. These frames have excellent pointwise localization and approximation properties. These properties are based on pointwise localization of kernels arising in the spectral calculus for certain self-adjoint operators, and on a positive-weight quadrature formula for the sphere that the authors have recently developed. Improved bounds on the weights in this formula are another by-product of our analysis.Keywords
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