In this article we study the interplay of the theory of classical
Dirichlet series in one complex variable with recent development
on monomial expansions of holomorphic functions in infinitely
many variables. For a given Dirichlet series we obtain new strips
of convergence in the complex plane related to Bohr’s classical
strips of uniform but non absolute convergence.
Publié le : 2010-05-15
Classification:
Dirichlet series,
power series,
polynomials,
30B50,
32A05
@article{1277731538,
author = {Defant, Andreas and Garc\'\i a, Domingo and Maestre, Manuel},
title = {New strips of convergence for Dirichlet series},
journal = {Publ. Mat.},
volume = {54},
number = {2},
year = {2010},
pages = { 369-388},
language = {en},
url = {http://dml.mathdoc.fr/item/1277731538}
}
Defant, Andreas; García, Domingo; Maestre, Manuel. New strips of convergence for Dirichlet series. Publ. Mat., Tome 54 (2010) no. 2, pp. 369-388. http://gdmltest.u-ga.fr/item/1277731538/