THE SPHERICAL WIENER-PLANCHEREL FORMULA AND SPECTRAL ESTIMATION

被引：2

作者：

BENEDETTO, JJ ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 04期

关键词：

WIENER-PLANCHEREL; TAUBERIAN THEOREMS; ITERATED LAPLACIAN; BESOV AND BEICOVICH SPACES; SPHERICAL MEAN VALUE; DIFFERENCE OPERATORS;

D O I：

10.1137/0522072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The d-dimensional spherical analogues of Wiener's "s-function" and difference operator are defined, and the role of the iterated Laplacian is explained. The corresponding spherical Wiener-Plancherel formula is formulated and proved. A recipe for spectral estimation is extracted from the formula.

引用

页码：1110 / 1130

页数：21