Basic covariant differential operators on hermitian symmetric spaces
Berezin quantization and holomorphic representations
Berezin transform for non-scalar holomorphic discrete series
Let be a Hermitian symmetric space of the non-compact type and let be a discrete series representation of which is holomorphically induced from a unitary irreducible representation of . In the paper [B. Cahen, Berezin quantization for holomorphic discrete series representations: the non-scalar case, Beiträge Algebra Geom., DOI 10.1007/s13366-011-0066-2], we have introduced a notion of complex-valued Berezin symbol for an operator acting on the space of . Here we study the corresponding...
Berezin transforms and group representations.
Bloch functions in several complex variables. II.
Bounde Reinhardt domains in Banach spaces
Bounded bicircular domains in Cn.
Bounded Kähler class rigidity of actions on hermitian symmetric spaces
Bounded symmetric domains and derived geometric structures
Every homogeneous circular convex domain (a bounded symmetric domain) gives rise to two interesting Lie groups: The semi-simple group of all biholomorphic automorphisms of and its isotropy subgroup at the origin (a maximal compact subgroup of ). The group acts in a natural way on the compact dual of (a certain compactification of that generalizes the Riemann sphere in case is the unit disk in ). Various authors have studied the orbit structure of the -space , here we are interested...