Alienation of the Jensen, Cauchy and d’Alembert Equations

Let (S, +) be a commutative semigroup, σ : S → S be an endomorphism with σ2 = id and let K be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen equation and the exponential Cauchy equation, we study the solutions f, g : S → K of the functional equ...

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Bibliographic Details
Main Author: Sobek Barbara
Format: Article
Language:English
Published: Sciendo 2016-09-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:http://www.degruyter.com/view/j/amsil.2016.30.issue-1/amsil-2016-0007/amsil-2016-0007.xml?format=INT