An addendum to Krein's formula

被引：43

作者：

Gesztesy, F ^{[1
]}

Makarov, KA ^{[1
]}

Tsekanovskii, E ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 222卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jmaa.1998.5948

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide additional results in connection with Krein's formula, which describes the resolvent difference of two self-adjoint extensions A(1) and A(2) of a densely defined closed symmetric linear operator k with deficiency indices (n, n), n is an element of boolean OR{infinity}. In particular, we explicitly derive the linear fractional transformation relating the operator-valued Weyl-Titchmarsh M-functions M-1(z) and M-2(z) corresponding to A(1) and A(2). (C) 1998 Academic Press.

引用

页码：594 / 606

页数：13

共 27 条

[1]

Akhiezer N.I., 1993, THEORY LINEAR OPERAT

[2]

Albeverio S., 1988, Solvable Models in Quantum Mechanics

[3] ON A PROBLEM OF WEYL IN THE THEORY OF SINGULAR STURM-LIOUVILLE EQUATIONS [J].