A TRACE FORMULA FOR A FAMILY OF JACOBI OPERATORS-Reference-Cited by-同舟云学术

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A TRACE FORMULA FOR A FAMILY OF JACOBI OPERATORS

Published:2009-04 Issue:02 Volume:07 Page:115-130
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

AGNEW ALFONSO F.¹,BOURGET ALAIN¹

Affiliation:

1. Department of Mathematics, California State University, Fullerton, McCarthy Hall 154, Fullerton CA 92834, USA

Abstract

In this paper, we compute the leading term in the asymptotic expansion of the trace of a family of Jacobi matrices as their order gets arbitrarily large. We then apply this formula to compute the density of states of the zeros of a class of polynomials associated with the Heun differential equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530509001311

Reference13 articles.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spectral asymptotics for Kac–Murdock–Szegő matrices;Japanese Journal of Mathematics;2018-03

2. A First Szegő’s Limit Theorem for a Class of Non-Toeplitz Matrices;Constructive Approximation;2016-05-06

3. Density of states of Jacobi matrices with periodic and asymptotically periodic coefficients;Proceedings of the American Mathematical Society;2015-06-03

4. Eigenvalue distributions from a star product approach;Journal of Physics A: Mathematical and Theoretical;2012-11-08

5. Spectral Density of Jacobi Matrices with Small Deviations;Constructive Approximation;2012-04-12

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