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A contraction-mapping proof of Koenigs’ theorem

Mestel, Benjamin D. (2014). A contraction-mapping proof of Koenigs’ theorem. Aequationes Mathematicae, 88(1-2) pp. 35–38.

DOI (Digital Object Identifier) Link: https://doi.org/10.1007/s00010-014-0265-7
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Abstract

We give a simple, functional analytic proof of Koenigs’ theorem on the linearisation of a complex analytic function in a neighbourhood of a hyperbolic fixed point. The proof uses the contraction mapping principle in the nonlinearity norm.

Item Type: Journal Item
Copyright Holders: 2014 Springer
ISSN: 1420-8903
Keywords: Schröder equation; Koenigs theorem; nonlinearity
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 40203
Depositing User: Benjamin Mestel
Date Deposited: 19 May 2014 08:09
Last Modified: 07 Dec 2018 10:23
URI: http://oro.open.ac.uk/id/eprint/40203
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