Functional equations on abelian groups with involution, II

被引：8

作者：

Stetkæer H. ^{[1
]}

机构：

[1] Department of Mathematics, Aarhus University, DK-8000 Aarhus C, Ny Munkegade

来源：

aequationes mathematicae | 1998年 / 55卷 / 3期

关键词：

Abelian group; D'alembert; Functional equation; Involution; Quadratic; Wilson;

D O I：

10.1007/s000100050032

中图分类号：

学科分类号：

摘要：

We find all solutions f, g, h1 and h2 of the quadratic-trigonometric functional equation f(x + y) + f(x + ay) = 2f(x) + h1(y) + g(x)h2 (y), x,y ∈ G, and of certain cases of it, where σ: G → G is an automorphism of the abelian group G such that σ2 = I, by reducing it to the basic functional equations: d'Alembert's equation, Wilson's equation, the quadratic equation and the equation of symmetric second differences. © Birkhäuser Verlag, Basel, 1998.

引用

页码：227 / 240

页数：13

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