Limits of Zeros of Orthogonal Polynomials on the Circle

Details Limits of Zeros of Orthogonal Polynomials on the Circle Limits of Zeros of Orthogonal Polynomials on the Circle

2004-04-29

arxiv.org/abs/math/0404535v1

Mathematics

Spectral Theory

Scientific paper

We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a question of Tur\'an): namely, for $n

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