NOWHERE ANALYTIC C INFINITY FUNCTIONS

被引:5
作者
RAMSAMUJH, TI
机构
[1] Department of Mathematics, Florida International University, Miami
关键词
D O I
10.1016/0022-247X(91)90304-I
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is shown that the set of C∞ functions on [0, 1] with a Pringsheim singularity at each point is a comeager subset of C∞ ([0, 1]). This answers a question of Steinhaus and Marczewski which was posed in a paper of Zahorski. © 1991.
引用
收藏
页码:263 / 266
页数:4
相关论文
共 5 条
[1]   WHEN IS A C-INFINITY FUNCTION ANALYTIC [J].
BOAS, RP .
MATHEMATICAL INTELLIGENCER, 1989, 11 (04) :34-37
[2]  
Pringsheim A., 1893, MATH ANN, V42, P153
[3]  
Zahorski Z., 1949, FUND MATH S, V36, P319
[4]  
[No title captured]
[5]  
[No title captured]