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Spectral functions of singular differential operators with matricial coefficients |
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| Authors: | H Chebli N.H Mahmoud |
| Affiliation: | a Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, 1060 Tunis, Tunisia b Institut National des Sciences Appliquées et de Technologie Centre Urbain Nord, 1080 Tunis, Tunisia |
| Abstract: | 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. |
| Keywords: | 34L25 47A40 |
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