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Journal of the London Mathematical Society Advance Access originally published online on August 21, 2009
Journal of the London Mathematical Society 2009 80(2):531-543; doi:10.1112/jlms/jdp038
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© 2009 London Mathematical Society

Functions with universal Faber expansions

Vagia Vlachou

Department of Mathematics
University of Patras
26500 Patras
Greece

For a certain type of doubly connected domain, we prove that there exist functions, holomorphic in such a domain, whose Faber expansions are all universal.

2000 Mathematics Subject Classification 30B50 (30E10).

This work has been partially supported by the Carathéodory research program (C164).

Received September 8, 2008; revised April 9, 2009; published online August 21, 2009.


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