General theory of the translation equation

DOI10.1007/BF01831111zbMath0876.39007OpenAlexW4238265829MaRDI QIDQ1897765

Zenon Moszner

Publication date: 23 November 1997

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137618

zbMATH Keywords

survey papertranslation equation

Mathematics Subject Classification ID

Development of contemporary mathematics (01A65) Functional equations for functions with more general domains and/or ranges (39B52) Matrix and operator functional equations (39B42) History of difference and functional equations (39-03)

Related Items (15)

Algebraic and abelian solutions to the projective translation equation ⋮ The projective translation equation and rational plane flows. I ⋮ The projective translation equation and rational plane flows. II: Corrections and additions ⋮ Multi-variable translation equation which arises from homothety ⋮ On some recent developments in Ulam's type stability ⋮ On the stability of the translation equation and dynamical systems ⋮ On scale-invariant parametric families of functions ⋮ Approximate dynamical systems on interval ⋮ Homomorphisms from Functional Equations in Probability ⋮ Recent Developments in the Translation Equation and Its Stability ⋮ Iteration Theory: Dynamical Systems and Functional Equations ⋮ A characterization of the approximate solutions of the translation equation ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Two general theorems on superstability of functional equations ⋮ The projective translation equation and unramified 2-dimensional flows with rational vector fields

Cites Work

• The composition of solutions of the multidimensional translation equation
• Sur un problème au sujet des homomorphismes. (On a problem concerning homomorphisms)
• Une généralisation d'un résultat de J. Aczél et M. Hosszú sur l'équation de translation. (A generalization of a result by J. Aczél and M. Hosszú on the translation equation)
• On maximal solutions of the translation equation.
• On extensions of homomorphisms
• The local structure of the solutions of the multidimensional translation equation
• Sur l'équation de translation multidimensionnelle. (On the multidimensional translation equation)
• Sur les propriétés complémentaires des solutions de l'équation de translation
• On transformations with several parameters and operations in multidimensional spaces
• Sur le prolongement de la solution de l'équation de translation
• Monotonic solution of the translation equation
• Sur les solutions disjointes de l'équation de translation
• QUELQUES REMARQUES SUR LES SOLUTIONS CONTINUES DE L'ÉQUATION DE TRANSLATION SUR UN GROUPE
• The translation equation on a direct product of groups
• THE TRANSLATION EQUATION AND ITS APPLICATION
• Sur l'équation de translation
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