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On the Zeros of Functions in the Bers Space

Fletcher, A. and Markovic, V. (2004) On the Zeros of Functions in the Bers Space. Publications de l'Institut Mathématique, 75 (89) (95). pp. 185-197. ISSN 0350-1302. https://resolver.caltech.edu/CaltechAUTHORS:20170508-065808634

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Abstract

We present some results on the distribution of zeros of functions in the Bers space Q(D), showing how the distribution depends on the bounds of the growth of │ƒ(z)│ HS │z│ƒ → 1, for ƒ Є Q(D). We also exhibit an open and dense subset, M C Q(D), which has the property of uniform control over the number of zeros in disks of hyperbolic radius l containes in D.


Item Type:Article
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https://eudml.org/doc/256090PublisherArticle
Additional Information:© 2004 l'Institut Mathématique. Received October 20, 2003. Revised January 24, 2004.
Issue or Number:95
Record Number:CaltechAUTHORS:20170508-065808634
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170508-065808634
Official Citation:A. Fletcher, and V. Marković. "On the Zeros of Functions in the Bers Space." Publications de l'Institut Mathématique 75(89).95 (2004): 185-197. <http://eudml.org/doc/256090>.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77247
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 May 2017 21:59
Last Modified:03 Oct 2019 17:55

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