Dirichlet Approximation and Universal Dirichlet

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Date
2016-08-16MFO Scientific Program
Research in Pairs 2015Series
Oberwolfach Preprints;2016,12Author
Aron, Richard M.
Bayart, Frédéric
Gauthier, Paul Montpetit
Maestre, Manuel
Nestoridis, Vassili
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Show full item recordOWP-2016-12
Abstract
We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and to the chordal one, as well. We also strengthen the notion of Universal Dirichlet series.