L1 convergence of the reconstruction formula for the potential function

被引：35

作者：

Chen, YT ^{[1
]}

Cheng, YH ^{[1
]}

Law, CK ^{[1
]}

Tsay, J ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 08期

关键词：

inverse nodal problem; potential function; reconstruction formula;

D O I：

10.1090/S0002-9939-02-06297-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that the potential function of the Sturm-Liouville problem can be reconstructed from the nodal data by a pointwise limit. We show that this convergence is in fact L-1.

引用

页码：2319 / 2324

页数：6

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