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

Let Y be the space of all entire functions f : ℂ2 → E 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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Vydáno v:Acta et commentationes Universitatis Tartuensis de mathematica Ročník 19; číslo 2; s. 67 - 73
Hlavní autoři: Sharma, Archna, Srivastava, G. S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Tartu University of Tartu Press 01.12.2015
Témata:
Complex variables
Continuity (mathematics)
Dirichlet problem
Entire functions
Linear transformations
Mathematical analysis
Yttrium
ISSN:1406-2283, 2228-4699
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Abstract Let Y be the space of all entire functions f : ℂ2 → E 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.
AbstractList Let Y be the space of all entire functions f : ℂ2 → E 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.
Author Srivastava, G. S.
Sharma, Archna
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Snippet Let Y be the space of all entire functions f : ℂ2 → E defined by the vector valued Dirichlet series, where E is a complex Banach algebra with the unit element....
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SubjectTerms Complex variables
Continuity (mathematics)
Dirichlet problem
Entire functions
Linear transformations
Mathematical analysis
Yttrium
Title Spaces of entire functions represented by vector valued Dirichlet series of two complex variables
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