On almost periodic sequences

被引：0
|
作者：
Bezivin, JP [1 ]
机构：
[1] Univ Caen, Dept Math, F-14032 Caen, France
来源：
ARCHIV DER MATHEMATIK | 1998年 / 70卷 / 06期
关键词：
D O I：
10.1007/s000130050218
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A sequence u = (u(n)) of complex numbers is said to be algebraic (differentially finite) if the generating power series [GRAPHICS] is algebraic over C(z) (satisfy a linear differential equation with polynomial coefficients). In this note, we study such sequences that belongs to the space of almost periodic sequences, i .e. the completion of the space spanned by the sequences c(theta)(n) = theta(n), theta is an element of U = {z is an element of C; \z\ = 1} under the semi-norm [GRAPHICS]
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收藏
页码：447 / 454
页数：8
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