ON THE FUNCTIONS OF TWO COMMUTING LAPLACE-BELTRAMI OPERATORS 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：

REPORTS ON MATHEMATICAL PHYSICS | 2014年 / 73卷 / 03期

关键词：

quantum mechanics; hyperbolic space; commuting Laplace-Beltrami operators; joint spectral resolution; Legendre function;

D O I：

10.1016/S0034-4877(14)00012-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe the structure of arbitrary rapidly decreasing two-variable function of two commuting Laplace-Beltrami operators in the product of two many-dimensional hyperbolic spaces showing that the function of the commuting Laplace-Beltrami operators is an integral operator and giving an explicit formula for its kernel.

引用

页码：281 / 298

页数：18

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