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

页码：1 / 6

页数：6

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