64 citations · 73 across the 15 of their papers we have counts for
4 papers · 2 filters
Jost functions and Jost solutions for Jacobi matrices, III. Asymptotic series for decay and meromorphicity
Barry Simon
We show that the parameters of a Jacobi matrix have a complete asymptotic series $ a_n^2 -1 &= \sum_{k=1}^{K(R)} p_k(n) μ_k^{-2n} + O(R^{-2n}) b_n &= \sum_{k=1}^{K(R)} p…
The essential spectrum of Schrodinger, Jacobi, and CMV operators
Yoram Last, Barry Simon
We provide a very general result that identifies the essential spectrum of broad classes of operators as exactly equal to the closure of the union of the spectra of suitable limits…
Meromorphic Szego functions and asymptotic series for Verblunsky coefficients
Barry Simon
We prove that the Szegő function, , of a measure on the unit circle is entire meromorphic if and only if the Verblunsky coefficients have an asymptotic expansion in exponenti…
OPUC on One Foot
Barry Simon
We present an expository introduction to orthogonal polynomials on the unit circle.