On a class of vector-valued entire Dirichlet series in n variables | Zendy

Lakshika Chutani | Zendy; Niraj Kumar | Zendy; Garima Manocha | Zendy

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On a class of vector-valued entire Dirichlet series in n variables

Author(s) -

Lakshika Chutani,

Niraj Kumar,

Garima Manocha

Publication year - 2018

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2018.22.01

Subject(s) - mathematics , dirichlet series , class (philosophy) , banach algebra , banach space , pure mathematics , spectrum (functional analysis) , general dirichlet series , series (stratigraphy) , commutative property , norm (philosophy) , dirichlet distribution , algebra over a field , mathematical analysis , law , paleontology , physics , quantum mechanics , artificial intelligence , computer science , political science , biology , boundary value problem

We consider a class F of entire Dirichlet series inn variables, whose coefficients belong to a commutative Banach algebra E. With a well defined norm, F is proved to be a Banach algebra with identity. Further results on quasi -invertibility, spectrum and continuous linear functionals are proved for elements belonging to F.

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