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Functional analysis for probability and stochastic processes : = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Functional analysis for probability and stochastic processes :/ A. Bobrowski.
其他題名:	an introduction /
其他題名:	Functional Analysis for Probability & Stochastic Processes
作者:	Bobrowski, Adam,
面頁冊數:	1 online resource (xii, 393 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Stochastic processes. -
電子資源:	https://doi.org/10.1017/CBO9780511614583
ISBN:	9780511614583 (ebook)

Functional analysis for probability and stochastic processes : = an introduction /
Bobrowski, Adam,

Functional analysis for probability and stochastic processes :an introduction /Functional Analysis for Probability & Stochastic ProcessesA. Bobrowski. - 1 online resource (xii, 393 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Preliminaries, notations and conventions --1.

This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from 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.

ISBN: 9780511614583 (ebook)Subjects--Topical Terms:

528256
Stochastic processes.

LC Class. No.: QA320 / .B625 2005

Dewey Class. No.: 515.7

Functional analysis for probability and stochastic processes : = an introduction /
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505 0 0 $g 1. $t Preliminaries, notations and conventions -- $g 2. $t Basic notions in functional analysis -- $g 3. $t Conditional expectation -- $g 4. $t Brownian motion and Hilbert spaces -- $g 5. $t Dual spaces and convergence of probability measures -- $g 6. $t The Gelfand transform and its applications -- $g 7. $t Semigroups of operators and Levy processes -- $g 8. $t Markov processes and semigroups of operators -- $g 9. $t Appendixes.
520 $a This text is designed both for students of probability and stochastic processes, and for students of functional analysis. For the reader not familiar with functional analysis a detailed introduction to necessary notions and facts is provided. However, this is not a straight textbook in functional analysis; rather, it presents some chosen parts of functional analysis that can help understand ideas from 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.
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650 0 $a Functional analysis. $3 527706
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