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Analogs of the M-Function in the Theory of Orthogonal Polynomials on the Unit Circle

Barry Simon

math.SParXiv:math/0311050

Abstract

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 that serve as analogs of the m-function.

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