On solutions of linear equations with polynomial coefficients

被引：2
|
作者：
Adamus, Janusz [1 ]
Seyedinejad, Hadi [1 ]
机构：
[1] Univ Western Ontario, Dept Math, London, ON N6A 5B7, Canada
来源：
ANNALES POLONICI MATHEMATICI | 2018年 / 121卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
arc-analytic function; Nash regulous function; semialgebraic geometry; ARC-ANALYTIC FUNCTIONS;
D O I：
10.4064/ap171122-29-12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a linear functional equation with polynomial coefficients need not admit an arc-analytic solution even if it admits a continuous semialgebraic one. We also show that such an equation need not admit a Nash regulous solution even if it admits an arc-analytic one.
引用
收藏
页码：1 / 6
页数：6
相关论文
共 50 条
12345