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The group of invariants of an inner function with finite spectrum

Authors:	Isabelle Chalendar Pamela Gorkin Jonathan R Partington

Institution:	1. Université de Lyon, CNRS, Université Lyon 1, INSA de Lyon, Ecole Centrale de Lyon, CNRS, UMR 5208, Institut Camille Jordan, 43 bld. du 11 novembre 1918, F-69622 Villeurbanne Cedex, France;2. Department of Mathematics, Bucknell University, Lewisburg, PA 17837, USA;3. School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom

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

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