| SPACES OF ANALYTIC FUNCTIONS REPRESENTED BY DIRICHLET SERIES OF TWO COMPLEX VARIABLES |
| |
| 引用本文： | HazemShabaBehnam G.S.Srivastava. SPACES OF ANALYTIC FUNCTIONS REPRESENTED BY DIRICHLET SERIES OF TWO COMPLEX VARIABLES[J]. 逼近论及其应用, 2002, 18(3): 1-14. DOI: 10.1007/BF02837109 |
| |
| 作者姓名： | HazemShabaBehnam G.S.Srivastava |
| |
| 作者单位： | IndianInstituleTechnologyofRoorkee,India |
| |
| 摘 要： | We consider the space X of all analytic functions f(s1,s2)=∑∞m，n=1 amnexp(s1λm s2μn) of two complex variables s1 and s2,equipping it with the natural locally convex topology and using the growth parameter,the order of f as defined recently by the authors.Under this topology X becomes a Frechet space.Apart from finding the characterization of continuous linear functionals,linear transformation on X,we have obtained the necessary and sufficient conditions for a double sequence in X to be a proper bases.
|
| 关 键 词： | 解析函数 复变量 狄立克莱级数 空间 二重序列 Dirichlet级数 |
Spaces of analytic functions represented by Dirichlet series of two complex variables |
| |
| Hazem Shaba Behnam and G. S. Srivastava. Spaces of analytic functions represented by Dirichlet series of two complex variables[J]. Approximation Theory and Its Applications, 2002, 18(3): 1-14. DOI: 10.1007/BF02837109 |
| |
| Authors: | Hazem Shaba Behnam and G. S. Srivastava |
| |
| Abstract: | |
| |
| Keywords: | |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
