Let ℍ n be the Siegel upper half space and let F and G be automorphic forms on ℍ n of weights k and l, respectively. We give explicit examples of differential operators D acting on functions on ℍ n × ℍ n such that the restriction of [Formula: see text] to Z = Z 1 = Z 2 is again an automorphic form of weight k + l + v on ℍ n . Since the elliptic case, i.e. n = 1, has already been studied some time ... [Show full abstract] ago by R. Rankin and H. Cohen we call such differential operators Rankin–Cohen type operators.
We also discuss a generalisation of Rankin–Cohen type operators to vector valued differential operators.