E. Elhoucien

activity

20152017

collaborators

5 papers

math.RT2017

On the Operator-valued $μ$ -cosine functions

Bouikhalene Belaid, Elqorachi Elhoucien

Let $(G, +)$ be a topological abelian group with a neutral element $e$ and let $μ : G ⟶ C$ be a continuous character of $G$ . Let $(\mathcal{H}, \langle \cdot,\cd…

math.CA2016

Integral Van Vleck's and Kannappan's functional equations on semigroups

Elqorachi Elhoucien

In this paper we study the solutions of the integral Van Vleck's functional equation for the sine $\int_{S} f (xτ (y) t) d μ (t) - \int_{S} f (x y t) d μ (t) = 2 f (x) f (y), x, y \in S$ and the inte…

math.CA2016

A class of functional equations on monoids

Bouikhalene Belaid, Elqorachi Elhoucien

In \cite{05} B. Ebanks and H. Stetkær obtained the solutions of the functional equation $f (x y) - f (σ (y) x) = g (x) h (y)$ where $σ$ is an involutive automorphism and $f, g, h$ are complex-va…

math.CA2016

On the integral functional equations: On the integral d'Alembert's and Wilson's functional equations

Bouikhalene Belaid, Elqorachi Elhoucien

Let $G$ be a locally compact group, and let $K$ be a compact subgroup of $G$ . Let $μ : G ⟶ C \ {0}$ be a character of $G$ . In this paper, we deal with…

math.CA2015

Solutions and stability of a generalization of Wilson's equation

Bouikhalene Belaid, Elqorachi Elhoucien

In this paper we study the solutions and stability of the generalized Wilson's functional equation $\int_{G} f (x t y) d μ (t) + \int_{G} f (x t σ (y)) d μ (t) = 2 f (x) g (y), x, y \in G$ , where $G$ is…

On the Operator-valued μ-cosine functions

Integral Van Vleck's and Kannappan's functional equations on semigroups

A class of functional equations on monoids

On the integral functional equations: On the integral d'Alembert's and Wilson's functional equations

Solutions and stability of a generalization of Wilson's equation

On the Operator-valued $μ$ -cosine functions