A class of entire Dirichlet series as an FK-space and a Fréchet space. (English) Zbl 1313.30007

Summary: In the present paper, we consider a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra and prove it to be a complex FK-space and a Fréchet space.


30B50 Dirichlet series, exponential series and other series in one complex variable
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
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