ON THE RESOLVENT OF THE LAPLACE-BELTRAMI OPERATOR IN HYPERBOLIC SPACE

被引：0
|
作者：
Guseinov, Gusein Sh. [1 ]
机构：
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 99卷 / 02期
关键词：
hyperbolic space; Laplace-Beltrami operator; Green's function; resolvent;
D O I：
10.1017/S1446788715000099
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a detailed description of the resolvent of the Laplace-Beltrami operator in n-dimensional hyperbolic space is given. The resolvent is an integral operator with the kernel (Green's function) being a solution of a hypergeometric differential equation. Asymptotic analysis of the solution of this equation is carried out.
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页码：186 / 206
页数：21
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