Vector Space Measures and Applications I -

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Résumé :
Les fonctions semi-continues inferieurement et la theorie des mesures cylindriques.- Absolute continuity for a class of probability measures.- On the covariance tensor.- Some aspects of the theory of vectorvalued amarts.- A note on conditional probabilities of a convex measure.- Tail probabilities in Gauss space.- Le role des partitions continues de l'unite dans la theorie des mesures scalaires ou vectorielles.- Tensor product of Gaussian measures.- Quelques nouveaux resultats sur les mesures cylindriques.- Differential invariants of measures on Banach spaces.- Transition probabilities for vector-valued Brownian motion with boundaries.- Logarithmic sobolev inequalities - A survey.- Quelques remarques relatives au theoreme central-limite dans C(S).- Methodes holomorphes et methodes nucleaires en analyse de dimension infinie et en theorie quantique des champs.- Some exponential moments with applications to density estimation, the empirical distribution function, and lacunary series.- Differential calculus for measures on Banach spaces.- ?quations aux d?riv?es partielles en dimension infinie.- Characterization of Banach space through validity of Bochner theorem.- A necessary condition for the central limit theorem on spaces of stable type.- On the Radon-Nikodym theorem.- Application de la theorie de la mesure en dimension infinie a la resolution de l'equation sur un espace de Hilbert.- Spaces of vector-valued continuous functions.- Quasi-invariant measures on R? and their Ergodic decomposition.- Commutative Wick algebras I. The Bargmann, Wiener and Fock algebras.- Some weak laws of large numbers for probability measures on vector spaces.- Some applications of vector space measures to non-relativistic quantum mechanics.- The Radon-Nikodym property: a point ofview....

Sommaire:
Les fonctions semi-continues inferieurement et la theorie des mesures cylindriques.- Absolute continuity for a class of probability measures.- On the covariance tensor.- Some aspects of the theory of vectorvalued amarts.- A note on conditional probabilities of a convex measure.- Tail probabilities in Gauss space.- Le role des partitions continues de l'unite dans la theorie des mesures scalaires ou vectorielles.- Tensor product of Gaussian measures.- Quelques nouveaux resultats sur les mesures cylindriques.- Differential invariants of measures on Banach spaces.- Transition probabilities for vector-valued Brownian motion with boundaries.- Logarithmic sobolev inequalities - A survey.- Quelques remarques relatives au theoreme central-limite dans C(S).- Methodes holomorphes et methodes nucleaires en analyse de dimension infinie et en theorie quantique des champs.- Some exponential moments with applications to density estimation, the empirical distribution function, and lacunary series.- Differential calculus for measures on Banach spaces.- ?quations aux d?riv?es partielles en dimension infinie.- Characterization of Banach space through validity of Bochner theorem.- A necessary condition for the central limit theorem on spaces of stable type.- On the Radon-Nikodym theorem.- Application de la theorie de la mesure en dimension infinie a la resolution de l'equation sur un espace de Hilbert.- Spaces of vector-valued continuous functions.- Quasi-invariant measures on R? and their Ergodic decomposition.- Commutative Wick algebras I. The Bargmann, Wiener and Fock algebras.- Some weak laws of large numbers for probability measures on vector spaces.- Some applications of vector space measures to non-relativistic quantum mechanics.- The Radon-Nikodym property: a point ofview.