Vector space measures and applications : proceedings, Dublin, 1977

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Vector space measures and applications : proceedings, Dublin, 1977

edited by R.M. Aron and S. Dineen

（Lecture notes in mathematics, 644, 645）

Springer-Verlag, 1978

  • v. 1 : Berlin
  • v. 1 : New York
  • v. 2 : Berlin
  • v. 2 : New York

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Note

Includes some papers in French

Includes bibliographies

Description and Table of Contents

Volume

v. 1 : Berlin ISBN 9783540086680

Table of 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.- Equations aux derivees 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.
Volume

v. 2 : Berlin ISBN 9783540086697

Table of Contents

Convergence presque partout des suites de fonctions mesurables et applications.- On the completion of vector measures.- Stochastic processes and commutation relationships.- Some results with relation to the control measure problem.- On measurable and partitionable vector valued multifunctions.- Analytic evolution equations in Banach spaces.- On the radon-Nikodym-property and martingale convergence.- On the Radon-Nikodym-property, and related topics in locally convex spaces.- Relations entre les proprietes de mesurabilite universelle pour un espace topologique T et la propriete de Radon-Nikodym pour le cone positif des mesures de Radon (resp, de Baire) sur T.- Stability of tensor products of radon measures of type (?).- The strong Markov property for canonical Wiener processes.- Random linear functionals and why we study them.- Control measure problem in some classes of F-spaces.- Application des proprietes des fonctions plurisousharmoniques a un probleme de mesure dans les espaces vectoriels complexes.- A maximal equality and its application in vector spaces.- Representation of analytic functionals by vector measures.- Liftings of vector measures and their applications to RNP and WRNP.- Integral representations in conuclear spaces.- Boundedness problems for finitely additive measures.- Vector measures and the ito integral.- Infinitely divisible stochastic differential equations in space-time.- Strong measurability, liftings and the Choquet-Edgar theorem.

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