Distributional representation of a Fourier inversion formula

被引：3
|
作者：
Hayek, N [1 ]
Gonzalez, BJ [1 ]
Negrin, ER [1 ]
机构：
[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Isl Canarias, Spain
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2005年 / 16卷 / 01期
关键词：
Fourier transform; distributions; inversion formula;
D O I：
10.1080/1065246042000271974
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we prove an inversion formula for the distributional Fourier transform on the space , k is an element of Z, k < 0. This result is applied to obtain a representation on S' for any distribution of S-k, as a limit of a sequence of ordinary functions.
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页码：21 / 28
页数：8
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