On the solution of the triple correlation equation. (English) Zbl 1040.45002
The nonlinear integral equation
\[
\int^{+\infty}_{-\infty} p(s) p(s+ t) p(s+\tau)\, ds= h(t,\tau)
\]
is transformed into the functional equation \(P(x)P(\xi)\overline{P(x+\xi)}= H(x,\xi)\) using the Fourier transform. The latter equation is solved explicitly under suitable conditions being necessary and sufficient. Two examples are given.
Reviewer: Lothar Berg (Rostock)