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# Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity

Published:2000-09-01
Printed: Sep 2000
• Filippo Bracci
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## Abstract

We identify a class of domains of $\C^n$ in which any two commuting holomorphic self-maps have a common fixed point.
 Keywords: Holomorphic self-maps, commuting functions, fixed points, Wolff point, Julia's Lemma
 MSC Classifications: 32A10 - Holomorphic functions 32A40 - Boundary behavior of holomorphic functions 32H15 - unknown classification 32H1532A30 - Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30) {For functions of several hypercomplex variables, see 30G35}

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