Abstract
ABSTRACTWe study the class of all entire Dirichlet series with real frequencies Λ (which are generalizations of classical Dirichlet series as well as power series). Our method, based on Number Theory, allows us to get a link between the set of real frequencies and the set of counting numbers. So the following problems posed by C.O. Kiselman have been solved: (i) the criteria for to be closed (invariant) under multiplication; (ii) the explicit description of the smallest subalgebra of entire functions that contains . Some open questions are provided.
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