Integral representation for eigenfunctions of the Laplacian

被引：2

作者：

Fujita, K ^{[1
]}

Morimoto, M

机构：

[1] Saga Univ, Fac Culture & Educ, Saga 8408502, Japan

[2] Sophia Univ, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 1999年 / 51卷 / 03期

关键词：

integral representation; eigenfunctions of the Laplacian; Fourier-Borel transformation; analytic functionals;

D O I：

10.2969/jmsj/05130699

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study entire functions of exponential type which are eigenfunctions of the Laplacian. We represent them by an integral on the complex light cone. The integral formula is closely related to the Fourier-Borel transformation for analytic functionals on the complex sphere.

引用

页码：699 / 713

页数：15

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