An operator version of a theorem of Kolmogorov (original) (raw)

Stochastic processes as Fourier transforms of stochastic measures

Hannu Niemi

Annales Academiae Scientiarum Fennicae Series A I Mathematica, 1975

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Introduction to Infinite Dimensional Stochastic Analysis

Jia-an Yan

2000

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On stochastic differentials in Hilbert spaces

Enrique M. Cabaña

Proceedings of the American Mathematical Society, 1969

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An integral representation for selfdecomposable banach space valued random variables

Zbigniew J. Jurek

Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1983

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Shorter Notes: An Extension of Kolmogorov's Theorem for Continuous Covariances

G Donald Allen

Proceedings of the American Mathematical Society, 1973

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On operator-valued stochastic integrals

Hui-hsiung Kuo

Bulletin of the American Mathematical Society, 1973

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Meixner Class of Non-Commutative Generalized Stochastic Processes with Freely Independent Values I. A Characterization

M. Bożejko

Communications in Mathematical Physics, 2009

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On the ergodic properties of the specrum of general random operators

W. Kirsch

Journal für die reine und angewandte Mathematik (Crelles Journal), 1982

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The covariation for Banach space valued processes and applications

Giorgio Fabbri, Cristina Di Girolami

Metrika, 2014

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Some Spectral Properties of Operators which are Related to One-Dimensional MARKOV Processes

H. Langer

Mathematische Nachrichten, 1986

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On a class of Markov processes in Hilbert space

Richard Duncan

Mathematische Zeitschrift, 1973

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A functional characterization of Markovian linear exaves

Jean Guy Dhombres

Bulletin of the American Mathematical Society, 1975

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Gauss-Markov processes on Hilbert spaces

Szymon Peszat

Transactions of the American Mathematical Society, 2015

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KFP operators with coefficients measurable in time and Dini continuous in space

Marco Bramanti

arXiv (Cornell University), 2023

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Spectral representation of semistable processes, and semistable laws on Banach spaces

Balram Rajput

Journal of Multivariate Analysis, 1987

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Regularity of Gaussian Processes on Dirichlet Spaces

Gerard Kerkyacharian

Constructive Approximation

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Some results about abstract Wiener space

Hui-hsiung Kuo

Lecture Notes in Mathematics, 1975

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Generalized covariation for Banach valued processes and It\^o formula

Cristina Di Girolami

2010

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On the Skorokhod representation theorem

Jean Cortissoz

Proceedings of the American Mathematical Society, 2007

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Generalized Covariation and Extended Fukushima Decomposition for Banach Space-Valued Processes: Applications to Windows of Dirichlet Processes

Francesco Russo

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2012

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A basic identity for Kolmogorov operators in the space of continuous functions related to RDEs with multiplicative noise

Sandra Cerrai

The Annals of Probability, 2014

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On martingales and feller semigroups

Jan Van Casteren

Results in Mathematics, 1992

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On free stochastic processes and their derivatives

Guy Salomon, Palle Jorgensen

Stochastic Processes and their Applications, 2014

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Abstract Markov Property and Local Operators

Jörg Schäfer

Journal of Functional Analysis, 1996

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Generalized covariation for Banach space valued processes, It\^o formula and applications

Cristina Di Girolami

OSAKA JOURNAL OF MATHEMATICS

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Gaussian measures in certain function spaces

Ditlev Monrad

Lecture Notes in Mathematics, 1981

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Stochastic and Infinite Dimensional Analysis

John Klauder

Trends in Mathematics, 2016

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On limit theorems for Banach-space-valued linear processes

A. Račkauskas

Lithuanian Mathematical Journal, 2010

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A general theorem for decomposition of linear random processes

Heidi Pohjanpalo

Proceedings of the American Mathematical Society, 1973

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On Abstract Wiener Measure

Balram Rajput

Nagoya Mathematical Journal, 1972

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On the ergodic theorem in the Kozlov-Treshchev form

Vladimir Bogachev

Doklady Mathematics, 2007

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Probabilistic properties of generalized stochastic processes in algebras of generalized functions

Dora Selesi

Monatshefte für Mathematik, 2017

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A Noncompletely Continuous Operator on L 1 (G) whose Random Fourier Transform is in c 0 (G)

Michel Talagrand

Proceedings of the American Mathematical Society

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Martingales, endomorphisms, and covariant systems of operators in Hilbert space

Palle Jorgensen

2004

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