Complex symmetric C0-semigroups on the Fock space

In this paper we introduce a new concept in dynamical systems: the complex symmetric operator C0C0-semigroups (groups) acting on Hilbert space. Using techniques of weighted composition operators we study these semigroups on the Fock space F2F2 and show, in particular, that complex symmetric operator C0C0-semigroups contain the familiar unitary semigroups as a proper subclass.