Interpolation by universal,hypercyclic functions |
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| Authors: | G. Costakis V. Vlachou |
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| Affiliation: | 1. Department of Mathematics, University of Crete, 71409 Heraklion, Crete, Greece;2. Department of Mathematics, University of Patras, 26500 Patras, Greece |
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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. |
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