THE ABSOLUTELY CONTINUOUS SPECTRUM OF DISCRETE CANONICAL SYSTEMS

被引：0

作者：

Fischer, Andreas ^{[1
]}

Remling, Christian ^{[2
]}

机构：

[1] Univ Osnabruck, Fachbereich Math, D-49069 Osnabruck, Germany

[2] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 02期

关键词：

Canonical systems; absolutely continuous spectrum; SCHRODINGER-OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if the canonical system J(y(n+1) - y(n)) = zH(n)y(n) has absolutely continuous spectrum of a certain multiplicity, then there is a corresponding number of linearly independent solutions y which are bounded in a weak sense.

引用

页码：793 / 818

页数：26

共 17 条

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