English

A Central Limit Theorem for Inner Functions

Complex Variables 2020-06-23 v1 Classical Analysis and ODEs

Abstract

A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures.

Keywords

Cite

@article{arxiv.2006.12105,
  title  = {A Central Limit Theorem for Inner Functions},
  author = {Artur Nicolau and Odí Soler i Gibert},
  journal= {arXiv preprint arXiv:2006.12105},
  year   = {2020}
}

Comments

26 pages

R2 v1 2026-06-23T16:30:45.375Z