Dirichlet approximation and universal Dirichlet series
Copyright policy )Dirichlet approximation and universal Dirichlet series
We characterize the uniform limits of Dirichlet polynomials on a right half plane. In the Dirichlet setting, we find approximation results, with respect to the Euclidean distance and to the chordal one as well, analogous to classical results of Runge, Mergelyan and Vituškin. We also strengthen the notion of universal Dirichlet series.
- National and Kapodistrian University of Athens Greece
- University of Valencia Spain
- Laboratoire de Mathématiques France
- University System of Ohio United States
- University of Clermont Auvergne France
Mathematics - Complex Variables, Universal Dirichlet series in one complex variable, approximation by Dirichlet polynomials, Infinite-dimensional holomorphy, Approximation in the complex plane, Runge-type theorems, approximation by Dirichlet rational functions, Mergelyan-type theorems, universal Dirichlet series, FOS: Mathematics, 30K10, Complex Variables (math.CV)
Mathematics - Complex Variables, Universal Dirichlet series in one complex variable, approximation by Dirichlet polynomials, Infinite-dimensional holomorphy, Approximation in the complex plane, Runge-type theorems, approximation by Dirichlet rational functions, Mergelyan-type theorems, universal Dirichlet series, FOS: Mathematics, 30K10, Complex Variables (math.CV)
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