Compactness of Floquet isospectral sets for the matrix Hill's equation

被引：13

作者：

Carlson, R ^{[1
]}

机构：

[1] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 10期

关键词：

Hill's equation; inverse spectral theory; KdV;

D O I：

10.1090/S0002-9939-00-05634-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M(Q) denote the set of self adjoint K x K potentials for the matrix Hill's equation having the same Floquet multipliers as -D-2 + Q. Elementary methods are used to show that M(Q) has compact closure in the space of continuous matrix valued functions.

引用

页码：2933 / 2941

页数：9

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