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

DOI10.4171/JST/5zbMath1235.47030arXiv1002.2790MaRDI QIDQ2275587

Alexander Kheifets, Leonid B. Golinskii, Peter Yuditskii

Publication date: 9 August 2011

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2790

zbMATH Keywords

Besov classinverse scattering problemscattering dataJost solutionSzegő asymptotics

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Scattering theory of linear operators (47A40) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

• Scattering theory for Jacobi operators with quasi-periodic background
• A strong Szegő theorem for Jacobi matrices
• Erratum: A strong Szegő theorem for Jacobi matrices
• Jost functions and Jost solutions for Jacobi matrices. I: A necessary and sufficient condition for Szegő asymptotics
• Asymptotics of orthonormal polynomials in the presence of a denumerable set of mass points
• Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity
• Necessary and Sufficient Conditions Relating the Coefficients in the Recurrence Formula to the Spectral Function for Orthogonal Polynomials
• A Relation between the Coefficients in the Recurrence Formula and the Spectral Function for Orthogonal Polynomials
• ON CONVERGENCE OF PADÉ APPROXIMANTS FOR SOME CLASSES OF MEROMORPHIC FUNCTIONS
• Scattering Theory, Orthogonal Polynomials, andq-Series
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