Techniques complexes d'étude d'E.D.O.
Tensor fields and connections on holomorphic orbit spaces of finite groups.
The Automorphism Groups of Strongly Pseudoconvex Domains.
The Bellaterra connection.
A new object is introduced - the "Fischer bundle". It is, formally speaking, an Hermitean bundle of infinite rank over a bounded symmetric domain whose fibers are Hilbert spaces whose elements can be realized as entire analytic functions square integrable with respect to a Gaussian measure ("Fischer spaces"). The definition was inspired by our previous work on the "Fock bundle". An even more general framework is indicated, which allows one to look upon the two concepts from a unified point of view....
The Bloch Space of M-Harmonic Functions on Bounded Symmetric Domains.
The Cohomological and Analytic Completeness of P(...2<Cn) G2'n .
The degree of the inverse of a polynomial automorphism.
The existence of angular derivatives of holomorphic maps of Siegel domains in a generalization of -algebras
The aim of this paper is to start a systematic investigation of the existence of angular limits and angular derivatives of holomorphic maps of infinite dimensional Siegel domains in -algebras. Since -algebras are natural generalizations of -algebras, -algebras, -algebras, ternary algebras and complex Hilbert spaces, various significant results follow. Examples are given.
The extended future tube conjecture for SO(1, )
Let be the open upper light cone in with respect to the Lorentz product. The connected linear Lorentz group acts on and therefore diagonally on the -fold product where We prove that the extended future tube is a domain of holomorphy.
The Gromov Norm of the Kaehler Class of Symmetric Domains.
The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains
We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.
The Hua system on irreducible Hermitian symmetric spaces of nontube type
Let be an irreducible Hermitian symmetric space of noncompact type. We study a - invariant system of differential operators on called the Hua system. It was proved by K. Johnson and A. Korányi that if is a Hermitian symmetric space of tube type, then the space of Poisson-Szegö integrals is precisely the space of zeros of the Hua system. N. Berline and M. Vergne raised the question about the nature of the common solutions of the Hua system for Hermitian symmetric spaces of nontube type. In...
The Kobayashi-Pseudodistance on Homogeneous Manifolds.
The Last Possible Place of Unitarity for Certain Highest Weight Modules.
The Mergelyan-Bishop theorem in the case of mapping into homogeneous manifolds. II. Proof of the theorem and application.
The minimum principle from a Hamiltonian point of view.
The Monodromy Groups of Critical Points of Functions II.
The Picard Group of a complex quotient variety.
The space of holomorphic functions on bounded symmetric domains