摘要
对复指数多项式在Banach空间Hα中的完备性给出了充分必要条件,其中Hα为在半带形Iα={z=x+iy:x≥0,|y|≤α}(α>0)中连续,在Iα的内部解析且当x→∞时,f(x+iy)在Iα中关于y一致地趋向0的函数f(x+iy)全体,其范数为上确界范数.
A necessary and sufficient condition is obtained for the completeness of complex exponential polynomials in the Banach space Ho, where Ho consists of all continuous functions on the closed right half strip, analytic in its interior and such that f（z） vanishing uniformly at infinity.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第4期331-333,共3页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目(10371011
10071005)
教育部留学回国人员科研启动基金资助项目
关键词
复指数多项式
完备性
半带形
completeness
exponential polynomials
half strip
