Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 56, No. 2, pp. 195-203 (1999)

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A Note on Matrix Transformations of Holomorphic Dirichlet Series

Lê Hai Khôi

Hanoi Institute of Information Technology,
Nghia Do, Cau Giay, 10000 Hanoi - VIETNAM
E-mail: Lhkhoi@ioit.ncst.ac.vn

Abstract: The aim of this note is to study matrix transformations of holomorphic Dirichlet series in bounded convex domains of $\C^n$. The problem considered here is motivated by the paper [1] of Borwein and Jakimovski for power series of one variable.

Keywords: Multiple Dirichlet series; sequence space; matrix transformation.

Classification (MSC2000): 32A05, 47B37, 30B50.

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