A conjecture of Ulam on the invariance of measures in Gilbert's cube
A Decomposition Theorem for Additive Set-Functions, with Applications to Pettis Integrals and Ergodic Means.
A general purity law for convolution semigroups with discrete Levy measure.
A Generalization of Folner's Condition.
A Lebesgue decomposition for elements in a topological group.
A method of construction of an invariant measure
A method of construction of an invariant measure on a function space is presented.
A note on intersections of non-Haar null sets
We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.
A note on quasi -invariant measures on semigroups.
A note on the support of right invariant measures.
A Poisson formula for harmonic projections
A problem of invariance for Lebesgue measure
A semi-group of probability measures with non-smooth differentiable densities on a Lie group
A Simplified Constructive Proof of the Existence and Uniqueness of Haar Measure.
Addendum to "On the Variation in the Cohomology of the Symplectic Form of the Reduced Phase Space."
Admissible transformations of measures.
Almost approximately convex functions
Amenability, extreme amenability, model-theoretic stability, and dependence property in integral logic
This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic. We prove definability of some properties of a topological semigroup such as amenability and the fixed point on compacta property. Second, we define types and develop local stability in the framework of integral logic. For a stable formula ϕ, we prove definability of all complete ϕ-types over models and deduce from this the fundamental...
An extension of the Steinhaus-Weil theorem
Analytic measure and quasi-invariant measure
Bands of invariantly extensible measures.