Bernhard Kroetz
Equivariant embeddings of Stein domains sitting inside of complex semigroups

In this paper we prove an equivariant version of Hormanders embedding theorem for Stein manifolds. More concretely, let G be a connected Lie group sitting in its complexification G_C and D\subeq G_C a G x G-invariant Stein domain. Under slight obstructions on D we construct a Hilbert space H equipped with a unitary G x G-action and a holomorphic equivariant closed embedding e: D -> H^*\{0}.