57 citations · 57 across the 3 of their papers we have counts for
3 papers
math.SP2003
Analogs of the M-Function in the Theory of Orthogonal Polynomials on the Unit Circle
Barry Simon
We show that the multitude of applications of the Weyl-Titchmarsh m-function leads to a multitude of different functions in the theory of orthogonal polynomials on the unit circle…
math-ph2002★ 57 cited
Sum Rules and the Szego Condition for Orthogonal Polynomials on the Real Line
Barry Simon, Andrej Zlatos
We study the Case sum rules, especially , for general Jacobi matrices. We establish situations where the sum rule is valid. Applications include an extension of Shohat's theor…
math.SP2001
Stability of Singular Spectral Types under Decaying Perturbations
A. Kiselev, Y. Last, B. Simon
We look at invariance of a.e. boundary condition spectral behavior under perturbations, , of half-line, continuum or discrete Schrödinger operators. We extend the results of del…