A study of various results for a class of entire Dirichlet series with complex frequencies

Let $F$ be a class of entire functions represented by Dirichlet series with complex frequencies $\sum a_k {\rm e}^{\langle\lambda^k, z\rangle}$ for which $(|\lambda^k|/{\rm e})^{|\lambda^k|} k!|a_k|$ is bounded. Then $F$ is proved to be a commutative Banach algebra with identity and it fails to beco...

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Bibliographic Details
Main Authors: Niraj Kumar, Garima Manocha
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2018-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/143/1/mb143_1_1.pdf