Frontiers of Mathematics in China >
Spaces of vector-valued Dirichlet series in a half plane
Received date: 04 Jul 2013
Accepted date: 06 Jun 2014
Published date: 29 Oct 2014
Copyright
Dirichlet series with real frequencies which represent entire functions on the complex plane have been investigated by many authors. Several proeperties such as topological structures, linear continuous functionals, and bases have been considered. Le Hai Khoi drived some results with Dirichlet series having negative real frequencies which represent holomorphic functions in a half plane. In the present paper, we have obtained some properties of holomorphic Dirichlet series having positive exponents, whose coefficients belong to a Banach algebra.
Key words： Vector-valued Dirichlet series; abscissa of convergence; norm; topology
Akanksha , G. S. SRIVASTAVA . Spaces of vector-valued Dirichlet series in a half plane[J]. Frontiers of Mathematics in China, 2014 , 9(6) : 1239 -1252 . DOI: 10.1007/s11464-014-0396-0
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