Remarks on recent fixed point theorems.
Remarks on some number-theoretical functional equations.
Remarks on stability of functional equations.
Remarks on strongly Wright-convex functions
Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.
Remarks on the comparison of weighted quasi-arithmetic means
We present comparison theorems for the weighted quasi-arithmetic means and for weighted Bajraktarević means without supposing in advance that the weights are the same.
Remarks on the Entropy Equation
Remarks on the stability of functional equations.
Remarques sur deux équations fonctionnellles à plusieurs fonctions inconnues
Removability of the wave singularities in the plane.
Removability of the wave singularities in the plane. (Summary).
Répartition de Suites et Équations Fonctionnelles Associées.
Report of Meeting: Fifteenth international symposium on functional equations. Oberwolfach, May, 22-28, 1977.
Report of Meeting: The Thirty-third International Symposium on Functional Equations, May 21-May 27, 1995, Caldes de Malavella, Catalonia, Spain.
Report of Meeting: The Thiry-second International Symposium on Functional Equations, June 12 - June 19, 1994, Gragnano, Italy.
Report of Meeting: The Twenty-fifth International Symposium on Functional Equations, August 16-22, 1987, Hamburg-Rissen, Germany.
Report of Meeting: The Twenty-first International Symposium on Functional Equations, August 6 - August 13, 1983, Konolfingen, Switzerland
Representation formula for the entropy and functional inequalities
We prove a stochastic formula for the Gaussian relative entropy in the spirit of Borell’s formula for the Laplace transform. As an application, we give simple proofs of a number of functional inequalities.
Representation of continuous associative functions.
Strengthened forms of Ling's representation theorem concerning a class of continuous associative functions are given: Firstly the monotonicity condition is removed. Then the associativity condition is replaced by the power associativity.
Representation of solutions of linear discrete systems with constant coefficients and pure delay.
Representations of quantum groups and (conditionally) invariant q-difference equations
We give a systematic discussion of the relation between q-difference equations which are conditionally -invariant and subsingular vectors of Verma modules over (the Drinfeld-Jimbo q-deformation of a semisimple Lie algebra over ℂg or ℝ). We treat in detail the cases of the conformal algebra, = su(2,2), and its complexification, = sl(4). The conditionally invariant equations are the q-deformed d’Alembert equation and a new equation arising from a subsingular vector proposed by Bernstein-Gel’fand-Gel’fand....