Spaces of entire functions represented by vector valued Dirichlet series of two complex variables

  • Archna Sharma Department of Applied Sciences and Humanities, ABES College of Engineering, Ghaziabad
  • G. S. Srivastava Department of Mathematics, Jaypee Institute of Information Technology, A-10, Sector-62, NOIDA-201307
Keywords: Dirichlet series, entire functions, linear transformations

Abstract

Let Y be the space of all entire functions f : ℂ2E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element. We study various topologies defined on the space Y and characterize continuous linear transformations on Y.

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Published
2015-12-31
Section
Articles