Invariant Measures and Minimal Sets of Horospherical Flows.
Invariant Measures and Orbit Closures for Unipotent Action on Homogeneous Spaces (Survey).
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces.
Invariant measures on locally compact spaces and a topological characterization of unimodular Lie groups
Invariant Meromorphic Functions on Complex Semisimple Lie Groups.
Invariant meromorphic functions on Stein spaces
In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and their algebraic subgroups. In particular, we show that in this setup invariant meromorphic functions separate orbits in general position. Applications to almost homogeneous spaces and principal orbit types are given. Furthermore, we use the main result...
Invariant mesures on homogeneous manifolds of reductive type.
Invariant operators and pluriharmonic functions on symmetric irreducible Siegel domains
Let D be a symmetric irreducible Siegel domain. Pluriharmonic functions satisfying a certain rather weak growth condition are characterized by r+2 operators (r+1 in the tube case), r being the rank of the underlying symmetric cone
Invariant operators of inhomogeneous unitary group
Invariant operators on function spaces on homogeneous trees
Invariant operators on higher K-types.
Invariant orders in Lie groups
[For the entire collection see Zbl 0742.00067.]The author formulates several theorems about invariant orders in Lie groups (without proofs). The main theorem: a simply connected Lie group admits a continuous invariant order if and only if its Lie algebra contains a pointed invariant cone. V. M. Gichev has proved this theorem for solvable simply connected Lie groups (1989). If is solvable and simply connected then all pointed invariant cones in are global in (a Lie wedge is said to...
Invariant orders in simply connected Lie groups.
Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups.
Invariant pseudo-differential operators on a Lie group
Invariant sets in topology and logic
Invariant states and a conditional fixed point property for affine actions.
Invariant structures on the 6-dimensional generalized Heisenberg group
Invariant subsets of nonsynthesis Leptin algebras and nonsymmetry
Invariant Subspaces in Certain Function Spaces on Euclidean Space.