Jost Functions and Jost Solutions for Jacobi Matrices, II. Decay and Analyticity

Abstract

We present necessary and sufficient conditions on the Jost function for the corresponding Jacobi parameters $a_n-1$ and $b_n$ to have a given degree of exponential decay.

28 pages

References in corpus (1)

• Sum Rules and the Szego Condition for Orthogonal Polynomials on the Real Line

Cited by in corpus (3)

• Jost Functions and Jost Solutions for Jacobi Matrices, I. A Necessary and Sufficient Condition for Szego Asymptotics
• Jost functions and Jost solutions for Jacobi matrices, III. Asymptotic series for decay and meromorphicity
• The scattering problem in Ryckman's class of Jacobi matrices