Abstract

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

Authors