Electronic Resource
Springer
Aequationes mathematicae
42 (1991), S. 137-153
ISSN:
1420-8903
Keywords:
39B40
;
39A70
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary This paper deals with the problem of characterizing higher order Cauchy differences of mappings on groups and semigroups. Symmetric, first order Cauchy differencesf(x + y)−f(x)−f(y) for mapsf 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01818486
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