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: https://doi.org/10.1007/s00010-014-0265-7

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.

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About

• Item ORO ID
• 40203
• Item Type
• Journal Item
• ISSN
• 1420-8903
• Keywords
• Schröder equation; Koenigs theorem; nonlinearity
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2014 Springer
• Depositing User
• Benjamin Mestel