Pointwise and global sums and negatives of translation relations.
Polylogarithmic functional equations: A new category of results developed with the help of computer algebra (MACSYMA).
Pythagorean orthogonality and additive mappings.
Quadratic functional equations of Pexider type.
Quadratic functionals and Jordan *-derivations
Quadratic functionals on modules over complex Banach *-algebras with an approximate identity
The problem of representability of quadratic functionals by sesquilinear forms is studied in this article in the setting of a module over an algebra that belongs to a certain class of complex Banach *-algebras with an approximate identity. That class includes C*-algebras as well as H*-algebras and their trace classes. Each quadratic functional acting on such a module can be represented by a unique sesquilinear form. That form generally takes values in a larger algebra than the given quadratic functional...
Quadratic Level Quasigroup Equations With Four Variables II: the Lattice of Varieties
Quadratic-quartic functional equations in RN-spaces.
Quasi-additive functions.
Quasigroups satisfying balanced but not Belousov equations are group isotopes.
Quasi-homomorphisms
We study the stability of homomorphisms between topological (abelian) groups. Inspired by the "singular" case in the stability of Cauchy's equation and the technique of quasi-linear maps we introduce quasi-homomorphisms between topological groups, that is, maps ω: 𝒢 → ℋ such that ω(0) = 0 and ω(x+y) - ω(x) - ω(y) → 0 (in ℋ) as x,y → 0 in 𝒢. The basic question here is whether ω is approximable by a true homomorphism a in the sense that ω(x)-a(x) → 0 in ℋ as x →...
Quelques observations à propos de l'équation pré-Schröder
Quelques remarques sur les familles canoniques de polynômes générateurs pour l'exponentielle
Soit un corps commutatif. Chercher une série formelle vérifiant conduit naturellement à étudier l’application , étant une unité de l’algèbre , et à ramener les solutions à la forme , étant une suite de vérifiant les “identités multinomiales” :Après mise à l’écart par des lemmes combinatoires du cas caract (les solutions sont triviales), on caractérise de plusieurs manières les solutions. On peut les faire coïncider avec l’ensemble NW des suites de polynômes (ou séries génératrices...
R-and T-Groupoids: A Generalization of Groups.
Random stability of an additive-quadratic-quartic functional equation.
Regular hexagons in normed spaces and a theorem of Walter Benz.
Regularity properties of functional equations.
Regularity properties of functional equations and inequalities.
Regularity properties of functional equations. (Short Communication).
Relations de dépendance entre les équations fonctionelles de Cauchy.