Periodic perturbations of unbounded Jacobi matrices I: Asymptotics of generalized eigenvectors

被引：10

作者：

Swiderski, Grzegorz ^{[1
]}

Trojan, Bartosz ^{[2
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2-4, PL-50384 Wroclaw, Poland

[2] Wroclaw Univ Technol, Wydzial Matemat, Wyb Wyspianskiego 27, PL-50370 Wroclaw, Poland

来源：

JOURNAL OF APPROXIMATION THEORY | 2017年 / 216卷

关键词：

Jacobi matrix; Asymptotics of generalized eigenvectors; Total variation; ORTHOGONAL POLYNOMIALS; SPECTRAL PROPERTIES; EIGENVALUES; ORDER;

D O I：

10.1016/j.jat.2017.01.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotics of generalized eigenvectors associated with Jacobi matrices. Under weak conditions on the coefficients we identify when the matrices are self-adjoint and we show that they satisfy the strong non-subordinacy condition. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：38 / 66

页数：29

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