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Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity

Published online by Cambridge University Press:  20 November 2018

Filippo Bracci
Filippo Bracci*
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Via Belzoni 7, 35131 Padova, Italia, email: fbracci@math.unipd.it
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Abstract

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We identify a class of domains of ${{\mathbb{C}}^{n}}$ in which any two commuting holomorphic self-maps have a common fixed point.

Keywords

32A1032A4032H1532A30Holomorphic self-mapscommuting functionsfixed pointsWolff pointJulia’s Lemma

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 3 , 01 September 2000, pp. 294 - 303
Copyright
Copyright © Canadian Mathematical Society 2000

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