Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces.
Applications de radonification des mesures compactologiques d'un espace métrique
Applications of outer measures to separation properties of lattices and regular or -smooth measures.
Applications p-radonifiantes et théorème de dualité
Approximate isometries on bounded sets with an application to measure theory
Approximating Radon measures on first-countable compact spaces
The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.
Approximation on Locally Convex Spaces.
Asymptotically optimal quantization schemes for Gaussian processes on Hilbert spaces*
We describe quantization designs which lead to asymptotically and order optimal functional quantizers for Gaussian processes in a Hilbert space setting. Regular variation of the eigenvalues of the covariance operator plays a crucial role to achieve these rates. For the development of a constructive quantization scheme we rely on the knowledge of the eigenvectors of the covariance operator in order to transform the problem into a finite dimensional quantization problem of normal distributions. ...