English

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

Spectral Theory 2007-05-23 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0311050,
  title  = {Analogs of the M-Function in the Theory of Orthogonal Polynomials on the Unit Circle},
  author = {Barry Simon},
  journal= {arXiv preprint arXiv:math/0311050},
  year   = {2007}
}