Probability Theory on Vector Spaces

Proceedings, Trzebieszowice, Poland, September 1977

288 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Angewandte Mathematik Stochastik
• ISBN: 9783540088462
• Sprache: Englisch
• Erscheinungsdatum: 01.06.1978
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: A. Weron