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Iteration in the disk and the ball: a survey of the role of hyperbolic geometry

Iteration in the disk and the ball: a survey of the role of hyperbolic geometry We review how the hyperbolic geometry of the unit disk in the complex plane and of the unit ball in several complex dimensions comes into play in the theory of iteration of analytic maps. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Iteration in the disk and the ball: a survey of the role of hyperbolic geometry

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Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer Basel AG
Subject
Mathematics; Mathematical Methods in Physics; Analysis
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-011-0018-x
Publisher site
See Article on Publisher Site

Abstract

We review how the hyperbolic geometry of the unit disk in the complex plane and of the unit ball in several complex dimensions comes into play in the theory of iteration of analytic maps.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Dec 17, 2011

References