Mixing Taylor shifts and universal Taylor series

Reference : Mixing Taylor shifts and universal Taylor series


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/36272

Title :	Mixing Taylor shifts and universal Taylor series
Language :	English
Author, co-author :	Beise, Peter []
	Meyrath, Thierry [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
	Müller, Jürgen [University of Trier > Fachbereich IV - Mathematik]
Publication date :	2015
Journal title :	Bulletin of the London Mathematical Society
Publisher :	Oxford University Press
Volume :	47
Pages :	136 - 142
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0024-6093
e-ISSN :	1469-2120
City :	Oxford
Country :	United Kingdom
Keywords :	[en] Universality ; Hypercyclicity ; Linear dynamics
Abstract :	[en] It is known that, generically, Taylor series of functions holomorphic in a simply connected complex domain exhibit maximal erratic behaviour outside the domain (so-called universality) and overconvergence in parts of the domain. Our aim is to show how the theory of universal Taylor series can be put into the framework of linear dynamics. This leads to a unified approach to universality and overconvergence and yields new insight into the boundary behaviour of Taylor series.
Permalink :	http://hdl.handle.net/10993/36272
DOI :	10.1112/blms/bdu104
Other URL :	https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/blms/bdu104

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