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Fractional Iteration and Functional Equations for Functions Analytic in the Unit Disk

Fractional Iteration and Functional Equations for Functions Analytic in the Unit Disk We establish criteria for the embeddability of an analytic function into a semigroup of analytic self-mappings of the open unit disk. We do this by studying properties of solutions to the Abel and Schröder functional equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Fractional Iteration and Functional Equations for Functions Analytic in the Unit Disk

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References (29)

Publisher
Springer Journals
Copyright
Copyright © 2002 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321854
Publisher site
See Article on Publisher Site

Abstract

We establish criteria for the embeddability of an analytic function into a semigroup of analytic self-mappings of the open unit disk. We do this by studying properties of solutions to the Abel and Schröder functional equations.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Apr 2, 2013

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