CERTAIN RESULTS ON A CLASS OF INTEGRAL FUNCTIONS REPRESENTED BY MULTIPLE DIRICHLET SERIES

Authors

  • N. Dua Department Of Mathematics, Netaji Subhas Institute Of Technology University of Delhi, Sector 3 Dwarka, New Delhi-110078 , India Author
  • N. Kumar Department Of Mathematics, Netaji Subhas Institute Of Technology University of Delhi, Sector 3 Dwarka, New Delhi-110078 , India Author

Keywords:

Dirichlet series, Banach algebra, topological divisor of zero, continous linear functional and total set

Subjects:

30B50, 46J15, 17A35

Abstract

In the present paper we obtain a condition on vector valued coefficients of multiple Dirichlet series for when the series converges in the whole complex plane. We also prove some results related to Banach algebraic structure, topological divisor of zero and more on a class of such series satisfying certain condition.

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Published

2020-07-15

Issue

Vol. 72 No. 3 (2020): Vol. 72, Issue 3

Section

Articles

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