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Certain results on a class of integral functions represented by multiple Dirichlet series. (English) Zbl 1474.30019

Summary: In the present paper we obtain a condition on vector valued coefficients of multiple Dirichlet series for when the series converges in the whole complex plane. We also prove some results related to Banach algebraic structure, topological divisor of zero and more on a class of such series satisfying certain condition.

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
17A35 Nonassociative division algebras
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References:

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