The group of invariants of an inner function with finite spectrum

Details The group of invariants of an inner function with finite spectrum The group of invariants of an inner function with finite spectrum

2011-03-30

arxiv.org/abs/1103.5915v1

Mathematics

Complex Variables

14 pages, 3 figures, submitted for publication May 2010

Scientific paper

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.

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