IJPAM: Volume 70, No. 7 (2011)
BASES IN THE SPACE OF
VECTOR VALUED ANALYTIC DIRICHLET SERIES
VECTOR VALUED ANALYTIC DIRICHLET SERIES
G.S. Srivastava
, Archna Sharma
Department of Mathematics
Indian Institute of Technology Roorkee
Roorkee, 247667, INDIA



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
Year: 2011
Volume: 70
Issue: 7