A Distribution - Theoretic Proof of Kirillov's Character Formula for Nilpotent Lie Groups.
Transversal Lie group actions on abstract CR manifolds.
A generalized complex Hopf Lemma and its applications to CR mappings.
Germs of CR maps between real analytic hypersurfaces.
Analyticity of relative fundamental solutions and projections for left invariant operators on the Heisenberg group
Representations of semisimple groups associated to nilpotent orbits
Automorphisms, Orbits, and Homogeneous Spaces of Non-Connected Lie Groups.
Lie group structures on groups of diffeomorphisms and applications to CR manifolds
We give general sufficient conditions to guarantee that a given subgroup of the group of diffeomorphisms of a smooth or real-analytic manifold has a compatible Lie group structure. These results, together with recent work concerning jet parametrization and complete systems for CR automorphisms, are then applied to determine when the global CR automorphism group of a CR manifold is a Lie group in an appropriate topology.
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