Atlas: Universal Taylor series in non simply connected domains by G. Costakis

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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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Universal Taylor series in non simply connected domains
by
G. Costakis
Department of Mathematics, University of Athens, Panepistimiopolis, GR 157 84, Athens, Greece

Universal Taylor series are Taylor series in the complex plane, such that their partial sums have nice approximation properties outside the circle of convergence. Until now, many authors have established the existence of universal Taylor series in simply connected domains. Also Gehlen, Luh, Muller proved that there are no universal Taylor series in bounded non simply connected domains. We shall present a proof of the existence of universal Taylor series in some unbounded non simply connected domains.

(T)

Date received: April 11, 2000