Generalized convolutions and the integral equations of the convolution type

被引：8
|
作者：
Bui Thi Giang [2 ]
Nguyen Minh Tuan [1 ]
机构：
[1] Univ Hanoi, Dept Math Anal, Hanoi, Vietnam
[2] Inst Cryptog Sci, Dept Basic Sci, Hanoi, Vietnam
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 04期
关键词：
generalized convolution; factorization identity; integral equations of the convolution type; Gaussian function; TRANSFORMS; DETECTOR; KERNEL;
D O I：
10.1080/17476930902998886
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article gives six new generalized convolutions of the integral transforms of Fourier type, and investigates a class of integral equations of convolution type by using the constructed convolutions. Namely, the explicit solutions in L-1 (R-d) of a class of integral equations of convolution type are obtained.
引用
收藏
页码：331 / 345
页数：15
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