AbstractLet X denote a simply connected compact Riemannian symmetric space, U the universal covering of the identity component of the group of automorphisms of X, and LU the loop group of U. In this paper we prove the existence (and conjecture the uniqueness) of an LU-invariant probability measure on a distributional completion of the loop space of X
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
A necessary and sufficient condition is given for a Borel automorphism on a standard Borel space to ...
AbstractLet G be a connected Lie group. In this paper we give a characterization of G-invariant dist...
AbstractLet X denote a simply connected compact Riemannian symmetric space, U the universal covering...
We show that any finite-dimensional compact Lie group is isomorphic to the symmetry group of a full ...
AbstractLet G be a compact Lie group, L(G) the associated loop group, ω the canonical symplectic for...
Abstract. It is shown that the uniqueness property of probability invariant measures is preserved un...
In this book, the author gives a cohesive account of the theory of probability measures on complete ...
AbstractWe construct and study the one-parameter semigroup of σ-finite measures Lθ, θ>0, on the spac...
Abstract. The group S ∞ acts via the logic action on the space of count-able structures in a given c...
Abstract. We give sufficient conditions for a group of homeomorphisms of a compact Hausdorff space t...
AbstractLet G be a locally compact metrizable group acting on a probability space (X, B, μ). First, ...
For simply connected nilpotent Lie groups, we show that a probability measure is gaussian in the sen...
AbstractLet G be a locally compact metrizable group acting on a probability space (X, B, μ). First, ...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
A necessary and sufficient condition is given for a Borel automorphism on a standard Borel space to ...
AbstractLet G be a connected Lie group. In this paper we give a characterization of G-invariant dist...
AbstractLet X denote a simply connected compact Riemannian symmetric space, U the universal covering...
We show that any finite-dimensional compact Lie group is isomorphic to the symmetry group of a full ...
AbstractLet G be a compact Lie group, L(G) the associated loop group, ω the canonical symplectic for...
Abstract. It is shown that the uniqueness property of probability invariant measures is preserved un...
In this book, the author gives a cohesive account of the theory of probability measures on complete ...
AbstractWe construct and study the one-parameter semigroup of σ-finite measures Lθ, θ>0, on the spac...
Abstract. The group S ∞ acts via the logic action on the space of count-able structures in a given c...
Abstract. We give sufficient conditions for a group of homeomorphisms of a compact Hausdorff space t...
AbstractLet G be a locally compact metrizable group acting on a probability space (X, B, μ). First, ...
For simply connected nilpotent Lie groups, we show that a probability measure is gaussian in the sen...
AbstractLet G be a locally compact metrizable group acting on a probability space (X, B, μ). First, ...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
AbstractBanach showed in 1923 that Lebesgue measure is not the unique rotation invariant finitely ad...
A necessary and sufficient condition is given for a Borel automorphism on a standard Borel space to ...
AbstractLet G be a connected Lie group. In this paper we give a characterization of G-invariant dist...
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