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Birkhoff-functions that are bounded on prescribed sets

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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 G δ-subset in the space of entire functions provided with a natural metric.

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Authors and Affiliations

  1. Institute of Mathematics, Armenian National Academy of Sciences, 375019, Yerevan, Armenia

    Tatevik L. Gharibyan

  2. Fachbereich IV Mathematik, Universität Trier, D-54286, Trier, Germany

    Wolfgang Luh & Markus Nieß

Authors
  1. Tatevik L. Gharibyan
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  2. Wolfgang Luh
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  3. Markus Nieß
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Corresponding author

Correspondence to Tatevik L. Gharibyan.

Additional information

Received: 24 November 2004; revised: 12 April 2005

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Gharibyan, T.L., Luh, W. & Nieß, M. Birkhoff-functions that are bounded on prescribed sets. Arch. Math. 86, 261–267 (2006). https://doi.org/10.1007/s00013-005-1372-4

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  • DOI: https://doi.org/10.1007/s00013-005-1372-4

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