期刊
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
卷 38, 期 2, 页码 574-594出版社
SIAM PUBLICATIONS
DOI: 10.1137/040614359
关键词
tight frames; n-sphere; localization
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.
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