English

Markov theorem for weight functions on the unit circle

Classical Analysis and ODEs 2019-10-24 v1

Abstract

The aim of this paper is to prove that Markov's theorem on variation of zeros of orthogonal polynomials on the real line [Math. Ann., 27:177-182,1886] remains essentially valid in the case of paraorthogonal polynomials on the unit circle.

Keywords

Cite

@article{arxiv.1910.10243,
  title  = {Markov theorem for weight functions on the unit circle},
  author = {K. Castillo},
  journal= {arXiv preprint arXiv:1910.10243},
  year   = {2019}
}
R2 v1 2026-06-23T11:51:54.934Z