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Probability Theory on Vector Spaces [electronic resource] : Proceedings, Trzebieszowice, Poland, September 1977 / edited by A. Weron.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 656Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1978Description: VI, 274 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540358145
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 519.2 23
LOC classification:
  • QA273.A1-274.9
  • QA274-274.9
Online resources:
Contents:
Some results concerning gaussian measures on metric linear spaces -- Singularity and absolute continuity of measures in infinite dimensional spaces -- A counter-example concerning CLT in banach spaces -- Random functions and orlicz's method regularity of paths and limit properties -- Remarks on positive definite operator valued functions in linear spacès -- Mixtures of gaussian cylinder set measures and abstract wiener spaces as models for detection of signals imbedded in noise -- On gaussian measures and the central limit theorem in certain f-spaces -- On the spectral mixing theorem for some classes of banach spaces and for the numerical contractions on hilbert spaces -- Intersection of the classes of s-selfdecomposable and s-semi-stable distributions -- Propagators and dilations -- On minimality of infinite dimensional stationary stochastic processes -- On the factorization of a nonnegative operator valued function -- Dissipative random processes -- Examples of non-stationary banach space valued stochastic processes of second order -- Prediction theory for non-stationary sequences of random vectors -- An inequality for the semi-martingales application to stochastic differential equations -- The order of approximation in the random central limit theorem -- Banach-space valued stationary processes with absolutely continuous spectral function -- Apropos of professor Masani's talk -- Boundedness and convergence of banach lattice valued submartingales -- Multiplicity theory for random fields using quantum mechanical methods.
In: Springer eBooks
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Some results concerning gaussian measures on metric linear spaces -- Singularity and absolute continuity of measures in infinite dimensional spaces -- A counter-example concerning CLT in banach spaces -- Random functions and orlicz's method regularity of paths and limit properties -- Remarks on positive definite operator valued functions in linear spacès -- Mixtures of gaussian cylinder set measures and abstract wiener spaces as models for detection of signals imbedded in noise -- On gaussian measures and the central limit theorem in certain f-spaces -- On the spectral mixing theorem for some classes of banach spaces and for the numerical contractions on hilbert spaces -- Intersection of the classes of s-selfdecomposable and s-semi-stable distributions -- Propagators and dilations -- On minimality of infinite dimensional stationary stochastic processes -- On the factorization of a nonnegative operator valued function -- Dissipative random processes -- Examples of non-stationary banach space valued stochastic processes of second order -- Prediction theory for non-stationary sequences of random vectors -- An inequality for the semi-martingales application to stochastic differential equations -- The order of approximation in the random central limit theorem -- Banach-space valued stationary processes with absolutely continuous spectral function -- Apropos of professor Masani's talk -- Boundedness and convergence of banach lattice valued submartingales -- Multiplicity theory for random fields using quantum mechanical methods.

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