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On Cauchy differences of all orders

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Publication:1180485
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DOI10.1007/BF01818486zbMath0744.39003MaRDI QIDQ1180485

Konrad J. Heuvers, Che Tat Ng, Bruce R. Ebanks

Publication date: 27 June 1992

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

Full work available at URL: https://eudml.org/doc/137425


zbMATH Keywords

additive functiongeneralized polynomialCauchy differencedivisible abelian group


Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Difference operators (39A70)


Related Items (4)

Cauchy-difference conservative vector fields for dimension two and three ⋮ Solutions of the \(n\)th-order Cauchy difference equation on groups ⋮ Kernels of higher order Cauchy differences on free groups ⋮ On generalized cocycle equations



Cites Work

  • A characterization of Cauchy kernels
  • A solution to a problem of J. Schwaiger
  • On the functional equation \(F(x+y,z)+F(x,y)=F(x,y+z)+F(y,z)\)
  • Representation for measures of information with the branching property
  • Some Functional Equations in Groups and Rings.
  • A representation theorem for $(X_1-1)(X_2-1)...(X_n-1)$ and its applications
  • Unnamed Item


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