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

页码：331 / 345

页数：15

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[2]

[Anonymous], 1973, Integral Equations, DOI DOI 10.1002/9781118165942

[3]

[Anonymous], CONVOLUTION INTEGRAL

[4]

[Anonymous], IZV VUZOV MAT