A Reconstruction Theorem for Riemannian Symmetric Spaces of Noncompact Type

被引：0

作者：

Matthew B. Stenzel

机构：

[1] Ohio State University,

来源：

Journal of Fourier Analysis and Applications | 2009年 / 15卷

关键词：

Sampling theorem; Symmetric space of noncompact type; Spherical Fourier transform; Symmetric space of complex type; 43A85; 43A90; 32M10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let f be a rapidly decreasing radial function on a Riemannian symmetric space of noncompact type whose spherical Fourier transform has compact support. We prove a reconstruction theorem which recovers f from the values of an integral operator applied to f on a discrete subset. When G/K is of the complex type we prove a sampling formula recovering f from its own values on a discrete subset. We give explicit results for three dimensional hyperbolic space.

引用

页码：839 / 856

页数：17

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