Inverse Uniqueness Results for Schrodinger Operators Using de Branges Theory

被引：9

作者：

Eckhardt, Jonathan ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2014年 / 8卷 / 01期

基金：

奥地利科学基金会;

关键词：

Schrodinger operators; de Branges spaces; Strongly singular potentials; SPECTRAL THEORY;

D O I：

10.1007/s11785-012-0265-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We utilize the theory of de Branges spaces to show when certain Schrodinger operators with strongly singular potentials are uniquely determined by their associated spectral measure. The results are applied to obtain an inverse uniqueness theorem for perturbed spherical Schrodinger operators.

引用

页码：37 / 50

页数：14

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