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商品詳細
Introduction to Hida Distributions. 正値超汎関数入門
・ISBN 978-981-283-688-5 hard US$ 98.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-981-283-689-2
| 著者・編者 | Si, Si, |
|---|---|
| 出版社 | (World Scientific, SI) |
| 出版年月 | 2011 |
| ページ数 | 200 pp. |
| 言語 | ENG |
| ニュース番号 | ＜580-298＞ |
解説
This book provides the mathematical definition of white noise and gives its significance. White noise is in fact a typical class of idealized elemental (infinitesimal) random variables. Thus, we are naturally led to have functionals of such elemental random variables that is white noise. This book analyzes those functionals of white noise, particularly the generalized ones called Hida distributions, and highlights some interesting future directions. The main part of the book involves infinite dimensional differential and integral calculus based on the variable which is white noise.The present book can be used as a supplementary book to Lectures on White Noise Functionals published in 2008, with detailed background provided.