Birkhoff-functions that are bounded on prescribed sets |
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| Authors: | Tatevik L Gharibyan Wolfgang Luh Markus Nieß |
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| Institution: | 1. Institute of Mathematics, Armenian National Academy of Sciences, 375019, Yerevan, Armenia
2. Fachbereich IV Mathematik, Universit?t Trier, D-54286, Trier, Germany
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| Abstract: | We prove the existence of entire functions which are universal under translations and bounded on certain prescribed sets.
It is also shown that the family of all these universal functions is a dense but not a Gδ-subset in the space of entire functions provided with a natural metric.
Received: 24 November 2004; revised: 12 April 2005 |
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| Keywords: | 30D15 30D40 30E10 |
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