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Let us use white noise

Hida, Takeyuki, (1927-)

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Let us use white noise

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Let us use white noise/ editors, T. Hida, L. Streit.
其他作者:	Hida, Takeyuki,
出版者:	Singapore :World Scientific, : c2017.,
面頁冊數:	1 online resource (230 p.) :ill.
附註:	Title from PDF file title page (viewed March 17, 2017)
標題:	White noise theory. -
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/10472#t=toc
ISBN:	9789813220942

Let us use white noise
Let us use white noise[electronic resource] /editors, T. Hida, L. Streit. - 1st ed. - Singapore :World Scientific,c2017. - 1 online resource (230 p.) :ill.

Title from PDF file title page (viewed March 17, 2017)

Includes bibliographical references and index.

"Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by "time". And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist -- and not only he -- sits there with some heuristic ansatz, like e.g. the famous Feynman "integral", wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman's "integral" can now be understood, the "It's all in the vacuum" ansatz of Haag and Coester is now making sense via Dirichlet forms, and so on in many fields of application. There is mathematical finance, there have been applications in biology, and engineering, many more than we could collect in the present volume. Finally, there is one extra benefit: when we internalize the structures of Gaussian white noise analysis we will be ready to meet another close relative. We will enjoy the important similarities and differences which we encounter in the Poisson case, championed in particular by Y Kondratiev and his group. Let us look forward to a companion volume on the uses of Poisson white noise. The present volume is more than a collection of autonomous contributions. The introductory chapter on white noise analysis was made available to the other authors early on for reference and to facilitate conceptual and notational coherence in their work."--Publisher's website.

Mode of access: World Wide Web.

ISBN: 9789813220942

LCCN: 2017002271Subjects--Topical Terms:

3315433
White noise theory.

LC Class. No.: QA274.29 / .L47 2017

Dewey Class. No.: 519.22

Let us use white noise
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260 $a Singapore : $b World Scientific, $c c2017.
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500 $a Title from PDF file title page (viewed March 17, 2017)
504 $a Includes bibliographical references and index.
520 $a "Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by "time". And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist -- and not only he -- sits there with some heuristic ansatz, like e.g. the famous Feynman "integral", wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman's "integral" can now be understood, the "It's all in the vacuum" ansatz of Haag and Coester is now making sense via Dirichlet forms, and so on in many fields of application. There is mathematical finance, there have been applications in biology, and engineering, many more than we could collect in the present volume. Finally, there is one extra benefit: when we internalize the structures of Gaussian white noise analysis we will be ready to meet another close relative. We will enjoy the important similarities and differences which we encounter in the Poisson case, championed in particular by Y Kondratiev and his group. Let us look forward to a companion volume on the uses of Poisson white noise. The present volume is more than a collection of autonomous contributions. The introductory chapter on white noise analysis was made available to the other authors early on for reference and to facilitate conceptual and notational coherence in their work."--Publisher's website.
538 $a Mode of access: World Wide Web.
650 0 $a White noise theory. $3 3315433
650 0 $a Stochastic analysis. $3 533923
650 0 $a Stationary processes. $3 648403
650 0 $a Electronic books. $3 855788
700 1 $a Hida, Takeyuki, $d 1927- $3 881288
700 1 $a Streit, Ludwig, $d 1938- $3 3315432
856 4 0 $u http://www.worldscientific.com/worldscibooks/10.1142/10472#t=toc