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Mathematics > Complex Variables

arXiv:1103.5915 (math)
[Submitted on 30 Mar 2011]

Title:The group of invariants of an inner function with finite spectrum

Authors:Isabelle Chalendar, Pamela Gorkin, Jonathan R. Partington
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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.
Comments: 14 pages, 3 figures, submitted for publication May 2010
Subjects: Complex Variables (math.CV)
MSC classes: 30J05
Cite as: arXiv:1103.5915 [math.CV]
  (or arXiv:1103.5915v1 [math.CV] for this version)
  https://doi.org/10.48550/arXiv.1103.5915

Submission history

From: Jonathan Partington [view email]
[v1] Wed, 30 Mar 2011 13:12:16 UTC (17 KB)
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