Title of article
A Variant of d’Alembert Functional Equation on Monoids
Author/Authors
Chahbi ، Abdellatif Department of Mathematics - Faculty of Sciences - Ibn Zohr University , Elqorachi ، Elhoucien Department of Mathematics - Faculty of Sciences - Ibn Zohr University
From page
1127
To page
1142
Abstract
In this paper, we determine the complex-valued solutions of the functional equation f (xσ(y)) + f (τ (y)x) = 2 f (x) f (y) for all x, y ∈ M, where M is a monoid, σ : M → M is an involutive automorphism and τ : M → M is an involutive anti-automorphism. The solutions are expressed in terms of multiplicative functions, and characters of 2-dimensional irreducible repre-sentations of M.
Keywords
Topological group , Monoid , d’Alembert’s equation , Automorphism , Involution ,
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2750986
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