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Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity

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Published:2000-09-01
Printed: Sep 2000

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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 Holomorphic self-maps, commuting functions, fixed points, Wolff point, Julia's Lemma

MSC Classifications:

32A10, 32A40, 32H15, 32A30 show english descriptions Holomorphic functions
Boundary behavior of holomorphic functions
unknown classification 32H15
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} 32A10 - Holomorphic functions
32A40 - Boundary behavior of holomorphic functions
32H15 - unknown classification 32H15
32A30 - 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}