English

On one example of a Nikishin system

Complex Variables 2018-10-01 v1

Abstract

The paper puts forward an example of a~Markov function f=const+σ^f=\operatorname{const}+\widehat{\sigma} such that the three functions f,f2f,f^2 and f3f^3 form a Nikishin system. A conjecture is proposed that there exists a~Markov function ff such that, for each nNn\in\mathbb N, the system f,f2,,fnf,f^2,\dots,f^n constitutes a~Nikishin system. Bibliography:~20~titles.

Cite

@article{arxiv.1809.11102,
  title  = {On one example of a Nikishin system},
  author = {Sergey P. Suetin},
  journal= {arXiv preprint arXiv:1809.11102},
  year   = {2018}
}
R2 v1 2026-06-23T04:22:15.064Z