Generalized functionals of Brownian motion.
Generalized transforms and convolutions.
Geometrical properties of Banach spaces and the distribution of the norm for a stable measure
Hausdorff Measures of Noncompactness and Interpolation Spaces
2000 Mathematics Subject Classification: 46B50, 46B70, 46G12.A new measure of noncompactness on Banach spaces is defined from the Hausdorff measure of noncompactness, giving a quantitative version of a classical result by R. S. Phillips. From the main result, classical results are obtained now as corollaries and we have an application to interpolation theory of Banach spaces.
Infinitely divisible cylindrical measures on Banach spaces
In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Further properties of infinitely divisible cylindrical measures such as continuity are derived. Moreover, the classification result enables us to deduce new results on...
Integrals and Banach spaces for finite order distributions
Let denote the real-valued functions continuous on the extended real line and vanishing at . Let denote the functions that are left continuous, have a right limit at each point and vanish at . Define to be the space of tempered distributions that are the th distributional derivative of a unique function in . Similarly with from . A type of integral is defined on distributions in and . The multipliers are iterated integrals of functions of bounded variation. For each , the spaces...
Integration and the Feynman-Kac formula
Isoperimetric problem for uniform enlargement
We consider an isoperimetric problem for product measures with respect to the uniform enlargement of sets. As an example, we find (asymptotically) extremal sets for the infinite product of the exponential measure.
La théorie des cônes biréticulés
Soient la classe des cônes convexes saillants faiblement complets et la sous-classe de formée des cônes localement compacts de . Dans les dix dernières années, Alfsen, Bauer, Effros, Rogalski et Stormer ont donné de nombreuses propriétés équivalentes entre elles et qui caractérisent dans les cônes de Radon des mesures de Radon positives sur un espace compact . On montre ici que ces propriétés, convenablement interprétées, restent équivalentes dans la sous-classe des cônes presque bien...
Large deviations and isoperimetry over convex probability measures with heavy tails.
Measurability of linear operators in the Skorokhod topology.
Measurable linear operators on Banach spaces
Measure determining classes of balls in Banach spaces.
Mesures cylindriques singulières sur un espace de Hilbert. Équivalence et orthogonalité
Moments of Measures on Banach Spaces.
Moments of vector measures and Pettis integrable functions
Conditions, under which the elements of a locally convex vector space are the moments of a regular vector-valued measure and of a Pettis integrable function, both with values in a locally convex vector space, are investigated.
New Gaussian Estimates for Enlarged Balls.
Nondifferentiable functions, Haar null sets and Wiener measure
On Alexandrov lattices.
On an Invariant Borel Measure in Hilbert Space
An example of a nonzero σ-finite Borel measure μ with everywhere dense linear manifold of admissible (in the sense of invariance) translation vectors is constructed in the Hilbert space ℓ₂ such that μ and any shift of μ by a vector are neither equivalent nor orthogonal. This extends a result established in [7].