Representation of a multiple integral of special form by a series

被引：0
|
作者：
Miroshin, R. N. [1 ]
机构：
[1] St Petersburg State Univ, St Petersburg, Russia
来源：
MATHEMATICAL NOTES | 2013年 / 93卷 / 1-2期
关键词：
multiple integral; linear integral equation; iterated kernel; Markov process; Kolmogorov-Chapman equation; orthogonal function; MARKOV-PROCESSES;
D O I：
10.1134/S0001434613010124
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Multiple integrals generalizing the iterated kernels of linear integral equations are expressed by a series each of whose terms is proportional to the product of two orthogonal functions in the case of a similar representation of the kernel. Besides integral equations, these integrals have applications in the theory of Markov processes. The results obtained are illustrated by several examples.
引用
收藏
页码：137 / 142
页数：6
相关论文
共 50 条
12345