The Marchenko representation of reflectionless Jacobi and Schrödinger operators-Reference-Cited by-同舟云学术

The Marchenko representation of reflectionless Jacobi and Schrödinger operators

Published:2015-02-03 Issue:2 Volume:368 Page:1251-1270
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Hur Injo,McBride Matt,Remling Christian

Abstract

We consider Jacobi matrices and Schrödinger operators that are reflectionless on an interval. We give a systematic development of a certain parametrization of this class, in terms of suitable spectral data, that is due to Marchenko. Then some applications of these ideas are discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2016-368-02/S0002-9947-2015-06527-1/S0002-9947-2015-06527-1.pdf

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