Mehler-Fock transforms of generalized functions via the method of adjoints

被引：12

作者：

Gonzalez, BJ ^{[1
]}

Negrin, ER ^{[1
]}

机构：

[1] Univ La Laguna, Dept Anal Matemat, La Laguna 38271, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 11期

关键词：

Mehler-Fock transform; Legendre function; generalized functions; distributions of compact support; Paley-Wiener type theorem;

D O I：

10.1090/S0002-9939-97-03957-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we analyse the Mehler-Fock transform of generalized functions via the method of adjoints. For a distribution of compact support, we prove that its Mehler-Fock transform agrees with its transform via the kernel method. A Paley-Wiener type theorem is established.

引用

页码：3243 / 3253

页数：11