The kernel of the second order Cauchy difference on semigroups

DOI10.1007/S00010-016-0453-8zbMath1368.39019OpenAlexW2564731819MaRDI QIDQ525081

Henrik Stetkaer

Publication date: 28 April 2017

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

Full work available at URL: https://pure.au.dk/ws/files/137584404/The_kernel_of_the_second_order_Cauchy_difference_on_semigroups.pdf

zbMATH Keywords

functional equationsemigroupabelian groupsecond-order Cauchy differenceFréchetWhitehead

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (8)

An integral functional equation on abelian semigroups ⋮ A functional equation related to Whitehead's equation on groups ⋮ Alienation of Drygas', Cauchy's, Jensen's and the quadratic equations on semigroups with an involutive automorphism ⋮ A variant of the quadratic functional equation on semigroups ⋮ A variant of d'Alembert's and Wilson's functional equations for \(2\times 2\) matrix valued functions ⋮ The Drygas functional equation on abelian semigroups with endomorphisms ⋮ A pexiderization of Whitehead's equation ⋮ A quadratic functional equation with involutive automorphisms on semigroups

Cites Work

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• Functions on semigroups with vanishing finite Cauchy differences
• Kernel of the second order Cauchy difference on groups
• Quadratic functional equation and inner product spaces
• Kernels of higher order Cauchy differences on free groups
• D'Alembert's other functional equation on monoids with an involution
• A certain exact sequence
• Solution of Whitehead equation on groups
• Functional Equations and Inequalities with Applications
• Functional Equations on Groups

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