Analogs of the m-function in the theory of orthogonal polynomials on the unit circle

Authors:
Barry Simon
Affiliations:
Department of Mathematics 253-37, California Institute of Technology, Pasadena, CA
Venue:
Journal of Computational and Applied Mathematics - Special issue: On the occasion of the eightieth birthday of prof. W.M. Everitt
Year:
2004

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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.