Spectral analysis of selfadjoint Jacobi matrices with periodically modulated entries

被引：38

作者：

Janas, J

Naboko, S

机构：

[1] Polish Acad Sci, Inst Math, Cracow Branch, PL-31027 Krakow, Poland

[2] St Petersburg State Univ, Inst Phys, Dept Math Phys, St Petersburg 198904, Russia

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2002年 / 191卷 / 02期

关键词：

D O I：

10.1006/jfan.2001.3866

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the spectral analysis of a class of selfadjoint unbounded Jacobi matrices J with modulated entries. The entries have the form of smooth sequences that increase to infinity multiplied by proper periodic sequences. For this class criteria for pure absolute continuity of the spectrum or its discreteness, and the asymptotics of generalized eigenvectors of J, are given, Some examples illustrating the stability zones of spectral structure are presented. (C) 2002 Elsevier Science (USA).

引用

页码：318 / 342

页数：25

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