MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
CERTAIN RESULTS ON A CLASS OF INTEGRAL FUNCTIONS REPRESENTED BY MULTIPLE DIRICHLET SERIES
N. Dua, N. Kumar

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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Keywords: Dirichlet series; Banach algebra; topological divisor of zero; continous linear functional and total set.

MSC: 30B50, 46J15, 17A35

Pages:  226$-$231     

Volume  72 ,  Issue  3 ,  2020