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/