Vector Space Measures and Applications I [electronic resource] : Proceedings, Dublin 1977 / edited by Richard M. Aron, Seán Dineen.

Contributor(s): Aron, Richard M [editor.] | Dineen, Seán [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 644Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1978Description: CDLXIV, 454 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540359067Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access online
Contents:
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 -- Équations aux dérivées 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 of view.
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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 -- Équations aux dérivées 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 of view.

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