Quasimodular forms and automorphic pseudodifferential operators of mixed weight (Q1635635)

The action of pseudo-differential operators over the ring of holomorphic functions on the upper half plane is examined in this paper. In particular, the author shows that coefficients of automorphic pseudo-differential operators of mixed weight give rise to quasi-modular forms. In this way, Cohen-Kuznetsov type lifts from modular forms to automorphic pseudo-differential operators are generalized.