Title

On Cauchy differences of all orders

Document Type

Article

Publication Date

8-1-1991

Abstract

This paper deals with the problem of characterizing higher order Cauchy differences of mappings on groups and semigroups. Symmetric, first order Cauchy differences f(x + y)-f(x)-f(y) for maps f between groups were characterized by Jessen, Karpf, and Thorup [8] through the use of first partial Cauchy differences. Our results are similar and extend their result to higher order differences. Our results also extend those of Heuvers [6] for mappings between vector spaces over the rationals. © 1991 Birkhäuser Verlag.

Publication Title

Aequationes Mathematicae

Share

COinS