most citedSolutions and stability of a variant of Van Vleck's and d'Alembert's functional equations

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math.CA2016★ 1 cited

Solutions and stability of a variant of Van Vleck's and d'Alembert's functional equations

Elqorachi Elhoucien, Redouani Ahmed, Th. M. Rassais

In this paper. (1) We determine the complex-valued solutions of the following variant of Van Vleck's functional equation $$\int_{S}f(σ(y)xt)dμ(t)-\int_{S}f(xyt)dμ(t) = 2f(x)f(y), \…