IJPAM: Volume 70, No. 7 (2011)
VECTOR VALUED ANALYTIC DIRICHLET SERIES
Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee, 247667, INDIA
Abstract. The space of all functions represented by vector valued Dirichlet series and analytic in a half plane is considered in this paper. The space is endowed with a certain topology under which become a Frechet space. On this space the form of linear continuous operator from to is characterized. We have also given a characterization of proper bases.
Received: May 2, 2011
AMS Subject Classification: 30B50, 46A35
Key Words and Phrases: vector valued Dirichlet series, analytic functions, proper bases
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395