In this paper we solve the functional equation
H [tau(F,G), chi (F,G)] = H (F,G)
where the unknowns tau and chi are two semigroups on a space of distribution functions, and H is a given pointwise binary operation on this space satisfying some regularity conditions.
@article{urn:eudml:doc:38994,
title = {On the functional equation H [tau (F,G), chi (F,G)] = H (F,G).},
journal = {Stochastica},
volume = {12},
year = {1988},
pages = {131-139},
zbl = {0694.39007},
mrnumber = {MR1024754},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38994}
}
Sánchez Soler, Mónica. On the functional equation H [tau (F,G), chi (F,G)] = H (F,G).. Stochastica, Tome 12 (1988) pp. 131-139. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38994/