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White noise distribution theory

Author: Hui-Hsiung Kuo
Publisher: Boca Raton : CRC Press, ©1996.
Series: Probability and stochastics series.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Covers the mathematical foundation and key applications of white noise theory. This book focuses on topics such as integral kernel operators, Fourier transforms, Laplacian operators, white noise  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Hui-Hsiung Kuo
ISBN: 0849380774 9780849380778
OCLC Number: 34473467
Language Note: English.
Description: 378 pages : illustrations ; 24 cm.
Contents: 1. Introduction to White Noise --
2. Background --
3. White Noise as an Infinite Dimensional Calculus --
4. Constructions of Test and Generalized Functions --
5. The S-transform --
6. Continuous Versions and Analytic Extensions --
7. Delta Functions --
8. Characterization Theorems --
9. Differential Operators --
10. Integral Kernel Operators --
11. Fourier Transforms --
12. Laplacian Operators --
13. White Noise Integration --
14. Feynman Integrals --
15. Positive Generalized Functions.
Series Title: Probability and stochastics series.
Responsibility: Hui-Hsiung Kuo.
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"It is precisely written, up to date, and makes frequent appeal to the research literature." -The Mathematical Gazette

 
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