Spectral functions of singular differential operators with matricial coefficients

被引：2

作者：

Chebli, H

Mahmoud, NH

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia

[2] Inst Natl Sci Appl & Technol, Ctr Urbain Nord, Tunis 1080, Tunisia

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2004年 / 15卷 / 01期

关键词：

singular differential operator; Bessel function; Jost and Harish-Chandra functions; asymptotic behavior; spectral function; scattering matrix;

D O I：

10.1016/S0019-3577(04)90003-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behavior of the Harish-Chandra function associated to a singular second order differential operator with matricial coefficients. The study is based on a detailed analysis of the asymptotic behavior of some eigenvectors of the operator from which results on the asymptotic behavior of the spectral function and the scattering matrix are derived.

引用

页码：29 / 42

页数：14

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