Introduction aux théories des distributions en dimension infinie
Invariance of Poisson measures under random transformations
We prove that Poisson measures are invariant under (random) intensity preserving transformations whose finite difference gradient satisfies a cyclic vanishing condition. The proof relies on moment identities of independent interest for adapted and anticipating Poisson stochastic integrals, and is inspired by the method of Üstünel and Zakai (Probab. Theory Related Fields103 (1995) 409–429) on the Wiener space, although the corresponding algebra is more complex than in the Wiener case. The examples...
Invariant measures and long-time behavior for the Benjamin-Ono equation
We summarize the main ideas in a series of papers ([20], [21], [22], [5]) devoted to the construction of invariant measures and to the long-time behavior of solutions of the periodic Benjamin-Ono equation.
La topologie du type Sazonov pour les Banach et les supports hilbertiens
Le problème du sur un espace de Hilbert
Lévy-Gromov's isometric inequality for an infinite dimensional diffusion generator.
Lévy-Khinchine representation and Banach spaces of type and cotype
Linear Lusin-measurable functionals in case of a continuous cylinder measure
Linear operators as measure preserving transformations
Lokale Integralnomen und verallgemeinerte uneigentliche Riemann-Stieltjes-Integrale.
Mackey continuity of characteristic functionals.
Measure determining classes of balls in Banach spaces.
Measure Spaces Connected by Correspondences.
Measure Theoretic Zero Sets in Infinite Dimensional Spaces and Applications to Differentiability of Lip-Schitz Mappings
Measures and Markov processes on function spaces
Measures which agree on balls.
Mesure asymptotique définie par une fonction à valeurs dans Rn ou dans un espace vectoriel topologique
Mesures à valeurs dans un espace de Banach complètement réticulé
Mesures cylindriques singulières sur un espace de Hilbert. Équivalence et orthogonalité
Mesures gaussiennes et mesures produits