On extensions of characteristic functions

被引：5
|
作者：
Norvidas, Saulius [1 ,2 ]
机构：
[1] Vilnius Univ, Inst Math & Informat, Akad Str 4, LT-08663 Vilnius, Lithuania
[2] Vilnius Gediminas Tech Univ, Saultekio Ave 11, LT-10223 Vilnius, Lithuania
来源：
LITHUANIAN MATHEMATICAL JOURNAL | 2017年 / 57卷 / 02期
关键词：
bandlimited function; Bochner's theorem; characteristic function; density function; entire function of exponential type; probability measure;
D O I：
10.1007/s10986-017-9357-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Here we deal with the following question: Is it true that, for any closed interval on the real line a"e that does not contain the origin, there exists a characteristic function f such that f(x) coincides with the normal characteristic function on this interval but f(x) ae cent on a"e? The answer to this question is positive. We study a more general case of an arbitrary characteristic function g of a continuous probability density, instead of .
引用
收藏
页码：236 / 243
页数：8
相关论文
共 50 条
12345