SPACES OF ANALYTIC FUNCTIONS REPRESENTED BY DIRICHLET SERIES OF TWo COMPLEX VARIABLES

SPACES OF ANALYTIC FUNCTIONS REPRESENTED

BY DIRICHLET SERIES OF TWo COMPLEX

VARIABLES

Hazem Shaba Behnam; G.S. Srivastava

【期刊名称】《《分析、理论与应用（英文版）》》 【年(卷),期】2002(018)003

【摘要】We consider the space X of all analytic functionsf(s1 ,s2) = ∞∑aminexp(s1λm+s2μtn)of two complex variables s1 and s2, equipping it with the natural locally convex topology and using thegrowth parmeter, the order of f as defined recently by the authors. Under this topology X becomes aFrechet space. Apart from finding the characterization of continuous linear functiors, linear transforma-tion on X, we have obtained the necesary and sufficient conditions for a double sequence in X to be a properbases. 【总页数】14页(1-14) 【关键词】

【作者】Hazem Shaba Behnam; G.S. Srivastava

【作者单位】Indian Institule Technology of Roorkee India 【正文语种】中文 【中图分类】O1 【相关文献】

1.SPACES OF ANALYTIC FUNCTIONS REPRESENTED BY DIRICHLET