Some unsolved problems in the theory of functional equations

DOI10.1007/BF01589228zbMath0191.44401MaRDI QIDQ2538043

János Aczél

Publication date: 1964

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (14)

Polynomially linked additive functions. II ⋮ Regularization and general methods in the theory of functional equations ⋮ Certain functional identities on division rings ⋮ Quadratic functions satisfying an additional equation ⋮ Quadratic functions fulfilling an additional condition along hyperbolas or the unit circle ⋮ Conditional equations for quadratic functions ⋮ Polynomially linked additive functions ⋮ On a system of functional equations ⋮ Functional equations on Abelian groups ⋮ Nichtkommutative monotone Gruppen reeller Zahlen ⋮ On superpositions of convex functions ⋮ On the lower order of \(f(z)e^{\varphi (z)}\) ⋮ Some relations between additive functions. I ⋮ An alternative equation for polynomial functions

Cites Work

• Über die multiplikative Cauchysche Funktionalgleichung für Matrizen dritter Ordnung
• Beitrag zur Theorie der Cauchyschen Funktionalgleichungen
• On the distribution function of additive functions
• A General Functional Equation
• Generalized associativity and bisymmetry on quasigroups
• A remark about Cauchy's equation
• Struktur linearer Funktionalgleichungen im Zusammenhang mit dem Abelschen Theorem.
• Determination of geometric objects of the type [2, 2, 1 with a linear homogeneous transformation formula]
• Ein Eindeutigkeitssatz in der Theorie der Funktionalgleichungen und einige ihrer Anwendungen
• Sur l'equation fonctionnelle f[x+yf(x) = f(x)f(y)]
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some unsolved problems in the theory of functional equations