On the scattering problem in Ryckman's class of Jacobi matrices

Leonid Golinskii; Alexander Kheifets; Petro Yuditskii

doi:10.4171/JST/5

On the scattering problem in Ryckman's class of Jacobi matrices

Leonid Golinskii, Alexander Kheifets, Petro Yuditskii

Research output: Contribution to journal › Article › peer-review

Abstract

We define and characterize the scattering data for a class of Jacobi matrices that was recently introduced by E. Ryckman. We prove the uniqueness and give a complete solution to the inverse scattering problem in this class.

Original language	English
Pages (from-to)	111-121
Number of pages	11
Journal	Journal of Spectral Theory
Volume	1
Issue number	2
DOIs	https://doi.org/10.4171/JST/5
State	Published - 2011
Externally published	Yes

Bibliographical note

Publisher Copyright:
© European Mathematical Society.

Keywords

Besov class
Inverse scattering problem
Jost solution
Scattering data
Szego asymptotics

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10.4171/JST/5

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title = "On the scattering problem in Ryckman's class of Jacobi matrices",

abstract = "We define and characterize the scattering data for a class of Jacobi matrices that was recently introduced by E. Ryckman. We prove the uniqueness and give a complete solution to the inverse scattering problem in this class.",

keywords = "Besov class, Inverse scattering problem, Jost solution, Scattering data, Szego asymptotics",

author = "Leonid Golinskii and Alexander Kheifets and Petro Yuditskii",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2011",

doi = "10.4171/JST/5",

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AU - Yuditskii, Petro

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KW - Besov class

KW - Inverse scattering problem

KW - Jost solution

KW - Scattering data

KW - Szego asymptotics

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On the scattering problem in Ryckman's class of Jacobi matrices

Abstract

Bibliographical note

Keywords

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