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Functional Analysis for Probability and Stochastic Processes
An Introduction

$72.00 ( ) USD

$72.00 USD ( )
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About the Authors
  • Designed for students of probability and stochastic processes, as well as for students of functional analysis, specifically, this volume presents some chosen parts of functional analysis that can help clarify probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study.

    • Numerous standard and non-standard examples and exercises make the book suitable for both a textbook for a course as well as for self-study
    • Unique in content, range, structure and presentation
    • Very detailed clear and careful proofs
    Read more

    Reviews & endorsements

    "My impression is that this text might well succeed as an attractive introduction to, or even as propaganda for the subject of probability and stochastic processes for a well-educated analyst without a probabilistic background."
    N.H. Bingham, Journal of the American Statistical Association

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    Product details

    • Date Published: October 2005
    • format: Adobe eBook Reader
    • isbn: 9780511128219
    • contains: 250 exercises
    • availability: Adobe Reader ebooks available from
  • Table of Contents

    1. Preliminaries, notations and conventions
    2. Basic notions in functional analysis
    3. Conditional expectation
    4. Brownian motion and Hilbert spaces
    5. Dual spaces and convergence of probability measures
    6. The Gelfand transform and its applications
    7. Semigroups of operators and Lévy processes
    8. Markov processes and semigroups of operators
    9. Appendixes

  • Resources for

    Functional Analysis for Probability and Stochastic Processes

    Adam Bobrowski

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    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

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  • Instructors have used or reviewed this title for the following courses

    • Graduate Analysis ll
    • Random Variables and Stochastic Process
  • Author

    Adam Bobrowski, Politechnika Lubelska, Poland
    Adam Bobrowski is a Professor of Mathematics at Lublin University.

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