On 3-graded Lie algebras, Jordan pairs and the canonical kernel function.
On commutation relations for 3-graded Lie algebras.
On differential operators attached to certain representations of classical groups.
On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
We present a large class of homogeneous 2-nondegenerate CR-manifolds , both of hypersurface type and of arbitrarily high CR-codimension, with the following property: Every CR-equivalence between domains , in extends to a global real-analytic CR-automorphism of . We show that this class contains -orbits in Hermitian symmetric spaces of compact type, where is a real form of the complex Lie group and has an open orbit that is a bounded symmetric domain of tube type.
On Penney's Cayley transform of a homogeneous Siegel domain.
On Stein extensions of real symmetric spaces.
On the CR-structure of certain linear group orbits in infinite dimensions
For large classes of complex Banach spaces (mainly operator spaces) we consider orbits of finite rank elements under the group of linear isometries. These are (in general) real-analytic submanifolds of infinite dimension but of finite CR-codimension. We compute the polynomial convex hull of such orbits explicitly and show as main result that every continuous CR-function on has a unique extension to the polynomial convex hull which is holomorphic in a certain sense. This generalizes to infinite...
On the Faraut-Koranyi hypergeometric functions in rank two
We give a complete description of the boundary behaviour of the generalized hypergeometric functions, introduced by Faraut and Koranyi, on Cartan domains of rank 2. The main tool is a new integral representation for some spherical polynomials, which may be of independent interest.
On the Lie algebra of holomorphic infinitesimal isometries of some classical complex symmetric Banach manifolds
The Banach-Lie algebras ℌκ of all holomorphic infinitesimal isometries of the classical symmetric complex Banach manifolds of compact type (κ = 1) and non compact type (κ = −1) associated with a complex JB*-triple Z are considered and the Lie ideal structure of ℌκ is studied.
On the radical of J*-triples.
On the Real Points of an Arithmetic Quotient of a Bounded Symmetrie Domain.
On the reflections in bounded symmetric domains
On the Rigidity of Certain Discrete Groups and Algebraic Varieties.
On the Segal-Shale-Weil Representations and Harmonic Polynomials.
Orbifold-Uniformizing Differential Equations.