Asymptotic expansions for singular differential operators with matricial coefficients

This paper presents a detailed analysis of the asymptotic expansion, in terms of Bessel functions, for some eigenfunctions of a singular second-order differential operator with matrix coefficients. In application, we recover the asymptotic behavior of the associated Harish-Chandra function and inter...

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Bibliographic Details
Published inIndagationes mathematicae Vol. 19; no. 1; pp. 115 - 133
Main Authors Mahmoud, N.H., Yaich, I.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2008
Subjects
Asymptotic expansion
Bessel function
Harish-Chandra function
Scattering matrix
Spectral function
Bessel function
Spectral function
Primary 34E05
Secondary 34E10
Asymptotic expansion
Harish-Chandra function
35P25
35P99
45F15
Scattering matrix
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Summary:This paper presents a detailed analysis of the asymptotic expansion, in terms of Bessel functions, for some eigenfunctions of a singular second-order differential operator with matrix coefficients. In application, we recover the asymptotic behavior of the associated Harish-Chandra function and interesting approximations at infinity of the related spectral function and scattering matrix.
ISSN:0019-3577
1872-6100
DOI:10.1016/S0019-3577(08)80018-3