F eb 2 00 3 Representation of Semigroups in Rigged Hilbert Spaces : Subsemigroups of the Weyl-Heisenberg Group

This paper studies how differentiable representations of certain subsemigroups of the Weyl-Heisenberg group may be obtained in suitably constructed rigged Hilbert spaces. These semigroup representations are induced from a continuous unitary representation of the Weyl-Heisenberg group in a Hilbert space. Aspects of the rigged Hilbert space formulation of… CONTINUE READING