Self-adjoint, unitary, and isometric weighted composition operators on quaternionic Fock space

The aim of this paper is to characterize several important classical properties, such as self-adjointness, unitarity, invertibility, isometry, and involution of weighted composition operators acting on the quaternionic Fock spaces of entire slice regular functions. We particularly show that the unitarity and co-isometry are equivalent for bounded quanternionic weighted composition operators, which are new even on the ordinary complex Fock space.