On automorphism groups of connected Lie groups.
On Besov spaces and absolute convergence of the Fourier transform on Heisenberg groups
In this paper the absolute convergence of the group Fourier transform for the Heisenberg group is investigated. It is proved that the Fourier transform of functions belonging to certain Besov spaces is absolutely convergent. The function spaces are defined in terms of the heat semigroup of the full Laplacian of the Heisenberg group.
On bounded generalized Harish-Chandra modules
Let be a complex reductive Lie algebra and be any reductive in subalgebra. We call a -module bounded if the -multiplicities of are uniformly bounded. In this paper we initiate a general study of simple bounded -modules. We prove a strong necessary condition for a subalgebra to be bounded (Corollary 4.6), i.e. to admit an infinite-dimensional simple bounded -module, and then establish a sufficient condition for a subalgebra to be bounded (Theorem 5.1). As a result we are able to...
On c-actions on compact complex manifolds with many compact orbits.
On certain Euler products for SU
On Characters and Asymptotics of Representations of a Real Reductive Lie Group.
On chiral differential operators over homogeneous spaces.
On classes of -adic Lie groups.
On closed abelian subgroups of real Lie groups.
On closedness and simple connectedness of adjoint and coadjoint orbits.
On coincidence of p-module of a family of curves and p-capacity on the Carnot group.
The notion of the extremal length and the module of families of curves has been studied extensively and has given rise to a lot of applications to complex analysis and the potential theory. In particular, the coincidence of the p-module and the p-capacity plays an mportant role. We consider this problem on the Carnot group. The Carnot group G is a simply connected nilpotent Lie group equipped vith an appropriate family of dilations. Let omega be a bounded domain on G and Ko, K1 be disjoint non-empty...
On commutators on nilpotent Lie group
On compact elements in solvable Lie groups
On compact orbits in singular Kähler spaces
For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.
On compactification lattices of subsemigroups of .
On complex structures in 8-dimensional vector bundles.
On convexity, the Weyl group and the Iwasawa decomposition
On differential operators attached to certain representations of classical groups.
On discrete subgroups of Lie groups and elliptic geometric structures.
In this paper we continue the investigation of [7]-[10] concerning the actions of discrete subgroups of Lie groups on compact manifolds.
On distinguished representations.