Bibliography: Works on Functional Equations.
Bilinear three-cycles on the projective line.
Bounded solutions of Schilling's problem.
Boundedness and continuity of additive and convex functionals.
Boundedness properties for functional inequalities.
Branching inset entropies on open domains.
-solutions of a system of functional equations
Caractérisation du module d'une fonction additive à l'aide d'une équation fonctionelle.
Caratterizzazione di classi di funzioni della forma F(x,y) = φ(h(x)+k(y)).
A characterization of some classes of functions F which have a representation of the formF(x,y) = φ(h(x)+k(y))is given, when F is monotonic in each variable but not strictly monotonic. Some particular results concern classes of solutions of the bisymmetry or associativity equations.
Cauchy's equation on ?.
Cauchy's equation on ?: futher results.
Cauchy's equation on ?. (Summary).
Cauchy's equation on the graph of an involution.
Cauchy's functional equation in restricted complex domains.
Cauchy's functional equation on a restricted domain
Cauchy's functional equation on semigroups
Certain Functional Equations on Groupoids Weaker than Quasigroups
Characteristic functional equations of polynomials and the Morera-Carleman theorem.
Characterization of convex functions
There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.
Characterization of functions whose forward differences are exponential polynomials
Given a finite subset of , we study the continuous complex valued functions and the Schwartz complex valued distributions defined on with the property that the forward differences are (in distributional sense) continuous exponential polynomials for some natural numbers .