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Characterization of bases in the space of entire Dirichlet series of order zero. (English) Zbl 0723.30004

The authors study bases in the space of all entire functions represented in the form \(f(s)=\sum^{\infty}_{n=1}a_ n \exp s\lambda_ n\), \(s=\sigma +it\in {\mathbb{C}}\), where \(0\leq \lambda_ 1<\lambda_ 2<...<\lambda_ n\to \infty\) having Ritt order \(\rho =0\).

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable
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