Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (6): 1571-1578.doi: 10.1016/S0252-9602(13)60105-8

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A CLASS OF ENTIRE DIRICHLET SERIES AS AN FK-SPACE AND A FRECHET SPACE

Niraj KUMAR|Garima MANOCHA   

  1. School of Applied Sciences, Netaji Subhas Institute of Technology, Sector 3 Dwarka, New Delhi-110078, India
  • Received:2012-06-12 Revised:2013-04-07 Online:2013-11-20 Published:2013-11-20

Abstract:

In the present paper we consider a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra and prove it to be a complex FK-space and a Frechet space.

Key words: Dirichlet series, Banach algebra, FK-space, Frechet space

CLC Number: 

  • 30B50
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