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Proceedings of the London Mathematical Society Advance Access originally published online on November 23, 2007
Proceedings of the London Mathematical Society 2008 96(2):417-463; doi:10.1112/plms/pdm043
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© 2007 London Mathematical Society

Abstract theory of universal series and applications

F. Bayart

Laboratoire Bordelais d’Analyse et de Géométrie
UMR 5467
Université Bordeaux 1
351 Cours de la Libération
33405 Talence cedex
France

K.-G. Grosse-Erdmann

Fakultät für Mathematik und Informatik
FernUniversität Hagen
58084 Hagen
Germany
kg.grosse-erdmann@fernuni-hagen.de

V. Nestoridis

Department of Mathematics
Panepistimiopilis
University of Athens
Athens, 15784
Greece
vnestor@math.uoa.gr

C. Papadimitropoulos

Department of Mathematics
Panepistimiopilis
University of Athens
Athens, 15784
Greece
cpapad@math.uoa.gr

Received 7 September 2006. Revision received 13 July 2007.

We give an abstract framework for the theory of universal series, from which we deduce easily and in a unified way most of the existing results as well as new and stronger statements.

Dedicated to Professor J-P. Kahane on the occasion of his 80th birthday

2000 Mathematics Subject Classification 30BXX, 30B30.


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