The group of invariants of an inner function with finite spectrum

Isabelle Chalendar; Pamela Gorkin; Jonathan R. Partington

The group of invariants of an inner function with finite spectrum

Complex Variables 2011-03-31 v1

Authors: Isabelle Chalendar , Pamela Gorkin , Jonathan R. Partington

Abstract

This paper determines the group of continuous invariants corresponding to an inner function $\Theta$ with finitely many singularities on the unit circle $T$ ; that is, the continuous mappings $g: T \to T$ such that $\Theta \circ g = \Theta$ on $\T$ . These mappings form a group under composition.

Keywords

inner function invariant group finite spectrum unit circle continuous mapping

Cite

@article{arxiv.1103.5915,
  title  = {The group of invariants of an inner function with finite spectrum},
  author = {Isabelle Chalendar and Pamela Gorkin and Jonathan R. Partington},
  journal= {arXiv preprint arXiv:1103.5915},
  year   = {2011}
}

Comments

14 pages, 3 figures, submitted for publication May 2010

The group of invariants of an inner function with finite spectrum

Abstract

Keywords

Cite

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