On an entire function represented by multiple Dirichlet series

Lakshika Chutani

Mathematica Bohemica (2021)

  • Volume: 146, Issue: 3, page 279-288
  • ISSN: 0862-7959

Abstract

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Consider the space L of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space L the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.

How to cite

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Chutani, Lakshika. "On an entire function represented by multiple Dirichlet series." Mathematica Bohemica 146.3 (2021): 279-288. <http://eudml.org/doc/297890>.

@article{Chutani2021,
abstract = {Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space $L$ the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.},
author = {Chutani, Lakshika},
journal = {Mathematica Bohemica},
keywords = {Dirichlet series; Banach algebra},
language = {eng},
number = {3},
pages = {279-288},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On an entire function represented by multiple Dirichlet series},
url = {http://eudml.org/doc/297890},
volume = {146},
year = {2021},
}

TY - JOUR
AU - Chutani, Lakshika
TI - On an entire function represented by multiple Dirichlet series
JO - Mathematica Bohemica
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 3
SP - 279
EP - 288
AB - Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable. Continuing further, for the given space $L$ the characterization of bounded linear transformations in terms of matrix and characterization of linear functional has been obtained.
LA - eng
KW - Dirichlet series; Banach algebra
UR - http://eudml.org/doc/297890
ER -

References

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