B. Belaid

activity

20152017

collaborators

4 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

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

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