Spectral theory via sum rules

被引：0
|
作者：
Killip, Rowan
机构：
来源：
SPECTRAL THEORY AND MATHEMATICAL PHYSICS: A FESTSCHRIFT IN HONOR OF BARRY SIMON'S 60TH BIRTHDAY: ERGODIC SCHRODINGER OPERATORS, SINGULAR SPECTRUM, ORTHOGONAL POLYNOMIALS, AND INVERSE SPECTRAL THEORY | 2007年 / 76卷
关键词：
Jacobi matrix; Krein system; CMV matrix; schrodinger operator; sum rule;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We survey some results in the spectral theory of certain onedimensional differential and finite-difference operators: Jacobi matrices, Krein systems, Schrodinger operators and CMV matrices. What ties these results together is the use of sum rules relating the coefficients and the spectral data.
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页码：907 / 930
页数：24
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