Existence of nontrivial solutions of linear functional equations

被引：9

作者：

Kiss, Gergely ^{[1
]}

Varga, Adrienn ^{[2
]}

机构：

[1] Eotvos Lorand Univ, Dept Anal, H-1117 Budapest, Hungary

[2] Univ Debrecen, Fac Engn, H-4010 Debrecen, Hungary

来源：

AEQUATIONES MATHEMATICAE | 2014年 / 88卷 / 1-2期

关键词：

Functional equations; field isomorphisms; variety;

D O I：

10.1007/s00010-013-0212-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the functional equation (n)Sigma(i=1) a(i)f(b(i)x + c(i)h) = 0 (x, h is an element of C), where a (i) , b (i) , c (i) are fixed complex numbers and is the unknown function. We show, that if there is i such that holds for any , the functional equation has a nonconstant solution if and only if there are field automorphisms of such that is a solution of the equation.

引用

页码：151 / 162

页数：12

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