TY - JOUR
AU1 - Ng, C. T.
AB - A natural extension of Jensen's functional equation on the real line is the equation $ f(xy)+f(xy^{-1}) = 2f(x) $ where f maps a group G into an abelian group H . When normalized, it defines semi-homomorphisms. It has been solved when G is free with up to two generators, and when $ G=GL_2(\Bbb Z) $ . Here, the results are extended to include all free groups and $ GL_n(\Bbb Z),\ n\geq 3 $ .
TI - Jensen's functional equation on groups, II
JF - aequationes mathematicae
DO - 10.1007/s000100050118
DA - 1999-11-01
UR - https://www.deepdyve.com/lp/springer-journals/jensen-s-functional-equation-on-groups-ii-taLps1aTfH
SP - 311
EP - 320
VL - 58
IS - 3
DP - DeepDyve
ER -