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A Note on the Density of Rational Functions in A ∞(Ω)

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New Trends in Approximation Theory

Part of the book series: Fields Institute Communications ((FIC,volume 81))

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Abstract

We present a sufficient condition to ensure the density of the set of rational functions with prescribed poles in the algebra A ∞(Ω).

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Acknowledgements

The fist author was supported by FNRS project T.0164.16.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100, Burjasot, Spain

    Javier Falcó

  2. Department of Mathematics, National and Kapodistrian University of Athens, Panepistemiopolis 157 84, Athens, Greece

    Vassili Nestoridis

  3. Operations Research Center, Massachusetts Institute of Technology, 77 Massachusetts Ave, Cambridge, MA, 02139, USA

    Ilias Zadik

Authors
  1. Javier Falcó
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  2. Vassili Nestoridis
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  3. Ilias Zadik
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Corresponding author

Correspondence to Javier Falcó .

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Editors and Affiliations

  1. Département de Mathématiques et de Statistique, Université Laval, Québec, Québec, Canada

    Javad Mashreghi

  2. Department of Mathematics and Statistics, University of South Florida, Tampa, Florida, USA

    Myrto Manolaki

  3. Département de Mathématiques et de Statistique, Université de Montréal, Montreal, Québec, Canada

    Paul Gauthier

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Falcó, J., Nestoridis, V., Zadik, I. (2018). A Note on the Density of Rational Functions in A ∞(Ω). In: Mashreghi, J., Manolaki, M., Gauthier, P. (eds) New Trends in Approximation Theory. Fields Institute Communications, vol 81. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7543-3_2

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