On zeros of paraorthogonal polynomials-Reference-Cited by-同舟云学术

On zeros of paraorthogonal polynomials

Published:2019-04-18 Issue:8 Volume:147 Page:3389-3399
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Lun Yen

Abstract

We prove some results concerning the behaviour of zeros of families of paraorthogonal polynomials on the unit circle. We establish an interlacing property of the zeros of some functions related to the paraorthogonal polynomials. Monotonicity with respect to a parameter is also discussed in detail. A Markov type theorem is proved, and the monotonicity is also considered from a spectral point of view.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2019-147-08/S0002-9939-2019-14359-8/S0002-9939-2019-14359-8.pdf

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