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
收藏
页码：3243 / 3253
页数：11
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