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

2003/11/04 by Barry Simon, Simon, Barry
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP) #math-ph #math.MP #math.SP

paper · pdf · doi:10.48550/arxiv.math/0311050

arxiv created 2003/11/04 · arxiv updated 2009/12/01

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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