A characterization of some classes of functions F which have a representation of the form
F(x,y) = φ(h(x)+k(y))
is given, when F is monotonic in each variable but not strictly monotonic. Some particular results concern classes of solutions of the bisymmetry or associativity equations.
@article{urn:eudml:doc:39287,
title = {Caratterizzazione di classi di funzioni della forma F(x,y) = $\phi$(h(x)+k(y)).},
journal = {Stochastica},
volume = {13},
year = {1992},
pages = {115-136},
zbl = {0770.39006},
mrnumber = {MR1197332},
language = {it},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39287}
}
Rusconi, Daniela. Caratterizzazione di classi di funzioni della forma F(x,y) = φ(h(x)+k(y)).. Stochastica, Tome 13 (1992) pp. 115-136. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39287/