Full length article: Interpolation by universal, hypercyclic functions

Authors:
G. Costakis;V. Vlachou
Affiliations:
Department of Mathematics, University of Crete, 71409 Heraklion, Crete, Greece;Department of Mathematics, University of Patras, 26500 Patras, Greece
Venue:
Journal of Approximation Theory
Year:
2012

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Abstract

In the present article we study an interpolation problem for classes of analytic functions, in a systematic manner. More precisely, we provide sufficient conditions so that proper and ''big'', in the Baire category sense, subclasses of analytic functions have an interpolation property at an infinite set of points. We then apply our main theorems to several classes of universal, hypercyclic functions.