Sub-exponentially localized kernels and frames induced by orthogonal expansions

被引:0
|
作者
Kamen Ivanov
Pencho Petrushev
Yuan Xu
机构
[1] Bulgarian Academy of Sciences,Institute of Mathematics and Informatics
[2] University of South Carolina,Department of Mathematics
[3] University of Oregon,Department of Mathematics
来源
Mathematische Zeitschrift | 2010年 / 264卷
关键词
Kernels; Frames; Orthogonal polynomials; Hermite; Laguerre functions; 42C10; 42C40;
D O I
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中图分类号
学科分类号
摘要
The aim of this paper is to construct sup-exponentially localized kernels and frames in the context of classical orthogonal expansions, namely, expansions in Jacobi polynomials, spherical harmonics, orthogonal polynomials on the ball and simplex, and Hermite and Laguerre functions.
引用
收藏
页码:361 / 397
页数:36
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