Asia Mathematika

An International Journal. ISSN: 2457-0834 (online)

Volume 2, Issue 2, August 2018, Pages: 29-40

A joint generalization of Van Vleck’s type Hilbert space valued functional equations

Hajira Dimou, Muaadh Almahalebi and Abdellatif Chahbi

Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco

Abstract

In the present paper, we characterize, in terms of multiplicative characters and additive functions, the continuous solutions of some functional equations for mapping defined on a group and taking valued in a complex Hilbert space with the Hadamard product.

Keywords

D’Alembert’s functional equation, involutive automorphism, functional equation, Hilbert valued function, Hadamard product.

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Reference

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