Weyl function and spectral properties of self-adjoint extensions

被引：67

作者：

Brasche, JF ^{[1
]}

Malamud, M

Neidhardt, H

机构：

[1] Chalmers Univ Technol, Inst Matemat, S-41296 Gothenburg, Sweden

[2] Univ Gothenburg, Inst Matemat, S-41296 Gothenburg, Sweden

[3] Donetsk State Univ, Dept Math, UA-340055 Donetsk, Ukraine

[4] WIAS Berlin, D-10117 Berlin, Germany

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2002年 / 43卷 / 03期

关键词：

D O I：

10.1007/BF01255563

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the spectra of self-adjoint extensions of a symmetric operator with equal deficiency indices in terms of boundary values of their Weyl functions. A complete description is obtained for the point and absolutely continuous spectrum while for the singular continuous spectrum additional assumptions are needed. The results are illustrated by examples.

引用

页码：264 / 289

页数：26

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