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.

引用

页码：186 / 206

页数：21

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