Probability Theory on Vector Spaces

A. Weron

ISBN 10: 3540088466 / ISBN 13: 9783540088462

Editore: Springer Berlin Heidelberg Jun 1978, 1978

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This item is printed on demand - it takes 3-4 days longer - Neuware -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 spac¿- 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. 288 pp. Englisch.

Codice articolo 9783540088462

Dati bibliografici

• Titolo: Probability Theory on Vector Spaces
• Editore: Springer Berlin Heidelberg Jun 1978
• Data di pubblicazione: 1978
• Lingua: Inglese
• ISBN 10: 3540088466
• ISBN 13: 9783540088462
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 16 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 16 millimetri di profondità
• Peso: 441 grammi

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Contenuti

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.