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Restricted T-Universal Functions |
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| Authors: | Wolfgang Luh Valeri A Martirosian Jürgen Müller |
| Institution: | Fachbereich IV, Universität Trier, D-54286, Trier, Germanyf1;Department of Mathematics, Yerevan State University, Yerevan, 375049, Armenia, f2;Fachbereich IV, Universität Trier, D-54286, Trier, Germany, f3 |
| Abstract: | We prove the existence of a function which is holomorphic exactly in the unit disk
and has universal translates with respect to a prescribed closed set E∂
and satisfies C∞(∂
\E). If Q is a subsequence of
0 with upper density d(Q)=1 then the function can be constructed such that in addition Full-size image |
| Keywords: | universal functions gap power series boundary behaviour of holomorphic functions lacunary polynomial approximation |
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