spaces on bounded symmetric domains
H² spaces of generalized half-planes
Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry
We give here a generalization of the theory of optimal destabilizing 1-parameter subgroups to non algebraic complex geometry : we consider holomorphic actions of a complex reductive Lie group on a finite dimensional (possibly non compact) Kähler manifold. In a second part we show how these results may extend in the gauge theoretical framework and we discuss the relation between the Harder-Narasimhan filtration and the optimal detstabilizing vectors of a non semistable object....
Hardy spaces and analytic continuation of Bergman spaces
Hardy spaces on two-sheeted covering semigroups.
Harmonic majorants for plurisubharmonic functions on bounded symmetric domains with applications to the spaces H... and N*.
Hermitian metrics of semi-negative curvature on quotients of bounded symmetric domains.
Hodge theory for twisted differentials
We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.
Hodge type of subvarieties of compact hermitian symmetric spaces.
Holomorphe Blätterungen komplexer Räume
Holomorphic actions on contractible domains without fixed points.
Holomorphic automorphisms and collective compactness in J*-algebras of operator
Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball in a J*-algebra of operators. Let be the family of all collectively compact subsets W contained in . We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when is a Cartan factor.
Holomorphic Automorphisms of Compact Kähler Surfaces and Their Induced Actions in Cohomology.
Holomorphic automorphisms of the tube domain over the Vinberg cone
In questo articolo si determina il gruppo di tutti gli automorfismi olomorfi del dominio tubolare sul cono di Vinberg. Tale dominio ha dimensione complessa 5 ed è il dominio tubolare omogeneo non simmetrico di dimensione più bassa. Si costruisce esplicitamente un gruppo transitivo di automorfismi olomorfi del dominio; successivamente, dimostrando che tale gruppo contiene l'intero sottogruppo di isotropia di un qualunque punto, si ottiene che esso coincide col gruppo di tutti gli automorfismi olomorfi...
Holomorphic group actions with few compact orbits
Holomorphic group actions with many compact orbits.
Holomorphic immersions between compact hyperbolic space forms.
Holomorphic Maps of Generalized Iwasawa Manifolds.
Holomorphic retractions and boundary Berezin transforms
In an earlier paper, the first two authors have shown that the convolution of a function continuous on the closure of a Cartan domain and a -invariant finite measure on that domain is again continuous on the closure, and, moreover, its restriction to any boundary face depends only on the restriction of to and is equal to the convolution, in , of the latter restriction with some measure on uniquely determined by . In this article, we give an explicit formula for in terms of ,...
Holomorphic sections of line bundles over (H,C)-Groups.