On a local uniqueness result for the inverse Sturm-Liouville problem

被引：2

作者：

Knudsen, K ^{[1
]}

机构：

[1] Aalborg Univ, Dept Math Sci, DK-9220 Aalborg O, Denmark

来源：

ARKIV FOR MATEMATIK | 2001年 / 39卷 / 02期

关键词：

D O I：

10.1007/BF02384561

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new and fairly elementary proof is given of the result by B. Simon [S], that the potential in a Sturm-Liouville operator is determined by the asymptotics of the associated m-function near -infinity. The proof given is based on relations between the classical transformation operators and the m-function.

引用

页码：361 / 373

页数：13

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