# Markov theorem for weight functions on the unit circle

Source: [Markov theorem for weight functions on the unit circle](<https://www.sota2.com/research/paper/68fa56501e209131ce99b8e9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:11:52.264Z

Authors: K. Castillo

Published: 2019-10-22T21:45:45.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1910.10243>)

[PDF](<https://arxiv.org/pdf/1910.10243.pdf>)