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Soit $a$ un réel de $] 0, 1 [$ . Nous étudions le système d’équations de convolution suivant $(*) \forall x \in R^{2}, f (x) = \frac{1}{4} \sum_{\binom{ϵ = \pm 1}{ϵ^{'} = \pm 1}} f (x + (ϵ, ϵ^{'})) = \frac{1}{4} \sum_{\binom{ϵ = \pm 1}{ϵ^{'} = \pm 1}} f (x + a (ϵ, ϵ^{'})) .$ Nous démontrons que les exponentielles polynômes solutions de $(*)$ sont denses dans l’espace des solutions $C^{\infty}$ du système d’équations; l’idéal de $ℰ^{'} (R^{2})$ engendré par les transformées de Fourier des deux mesures intervenant ici est “slowly decreasing” au sens de Berenstein-Taylor. Lorsque $a$ n’est pas un nombre de Liouville, nous montrons qu’il existe un ouvert relativement compact telle que toute solution distribution de $(*)$ régulière...

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Faà di Bruno's formula and nonhyperbolic fixed points of one-dimensional maps.

Factoring biquadratic maps on modules.

Fixed point methods for the generalized stability of functional equations in a single variable.

Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras.

Fixed points and random stability of a generalized Apollonius type quadratic functional equation.

Fixed points and stability for functional equations in probabilistic metric and random normed spaces.

Fixed points and stability of a generalized quadratic functional equation.

Fixed points and stability of the Cauchy functional equation in $C^{*}$ -algebras.

Fixed points and the stability of an AQCQ-functional equation in non-Archimedean normed spaces.

Fixed points and the stability of Jensen's functional equation.

Fixed points, inner product spaces, and functional equations.

Fixed-point theorems for multi-valued functions and their applications to functional equations [Book]

Fonctions définies dans le plan et vérifiant certaines propriétés de moyenne

Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes

Formes quadratiques sur un semi-groupe involutif.

Four different unknown functions satisfying the triangle mean value property for harmonic polynomials

Four variations on a theme of S. B. Presic concerning semigroup functional equations.

Fractions rationnelles hyperboliques p-adiques

Fréchet's equation and Hyers theorem on noncommutative semigroups

Functional equation associated with triangle geometry. (Summary).

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