Fourier transform of Radon measures on a locally compact group

被引：4

作者：

Atanasiu, Dragu ^{[2
]}

Mikusinski, Piotr ^{[1
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Univ Boras, Sch Engn, Boras, Sweden

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2010年 / 21卷 / 11期

关键词：

locally compact groups; positive definite functions; Bochner theorem; pseudoquotients; Boehmians;

D O I：

10.1080/10652461003687781

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A space of generalized functions is constructed that allows us to generalize Bochner's theorem so that all Radon measures on a locally compact group are in a one-to-one correspondence with elements of that space of generalized functions. This defines a Fourier transform for all Radon measures on a locally compact group.

引用

页码：815 / 821

页数：7