15 July 2003 Siegel disks with critical points in their boundaries
Jacek Graczyk, Grzegorz Świątek
Duke Math. J. 119(1): 189-196 (15 July 2003). DOI: 10.1215/S0012-7094-03-11916-X

Abstract

Consider an analytic function f which has a Siegel disk properly contained in the domain of holomorphy. We prove that if the rotation number is of bounded type, then f has a critical point in the boundary of the Siegel disk.

Citation

Download Citation

Jacek Graczyk. Grzegorz Świątek. "Siegel disks with critical points in their boundaries." Duke Math. J. 119 (1) 189 - 196, 15 July 2003. https://doi.org/10.1215/S0012-7094-03-11916-X

Information

Published: 15 July 2003
First available in Project Euclid: 23 April 2004

zbMATH: 1037.37022
MathSciNet: MR1991650
Digital Object Identifier: 10.1215/S0012-7094-03-11916-X

Subjects:
Primary: 37Fxx
Secondary: 30Cxx

Rights: Copyright © 2003 Duke University Press

JOURNAL ARTICLE
8 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.119 • No. 1 • 15 July 2003
Back to Top