On a class of vector-valued entire Dirichlet series in n variables
Keywords: Dirichlet series, Banach algebra, quasi-inverse, spectrum, total set
We consider a class F of entire Dirichlet series in n variables, whose coefficients belong to a commutative Banach algebra E. With a well defined norm, F is proved to be a Banach algebra with identity. Further results on quasi-invertibility, spectrum and continuous linear functionals are proved for elements belonging to F.
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