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Item:142002080133FREE SHIPPING AUSTRALIA WIDE Introduction to Hida Distributions by Si Si Presents the mathematical definition of white noise and gives its significance. This book analyzes functionals of white noise, particularly the generalized ones called Hida distributions, and highlights some future directions. It also covers infinite dimensional differential and integral calculus based on the variable which is white noise. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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 of White Noise Functionals published in 2008, with detailed background provided. Table of Contents White Noise and Its Probability Distribution; Linear Functionals of White Noise; Gaussian Systems and Their Representations; Nonlinear Functionals of White Noise; Hida Distributions (Generalized Functionals of White Noise); Applications to Quantum Dynamics, Statistics and Biology. Review As a whole, the text is well written in a lucid style and is planned so nicely that the readers may grasp with ease the core part of white noise analysis and may also have a clear panoramic view of various aspects of its application, depending on their interest. This book is recommendable for potentially interested people or ambitious graduate students who are unfamiliar with generalized stochastic processes and infinite dimensional analysis. The prerequisite is only the basis of functional analysis and probability theory, and a little knowledge of stochastic processes and quantum theory are preferable. It is also suitable for physicists, applied physicists and physical engineers who are interested in applications to quantum physics, in particular, to Feynman path integrals. In the appendix, plenty of important formulae frequently appearing in white noise analysis are compactly summarized. -- Zentralblatt Maths "Zentralblatt MATH" In general, the book may be interesting to young researchers who need to obtain a quick introductory overview of white noise analysis. Potential readers should be familiar with basic probability theory and functional analysis. Overall, the book provides a good survey in a compact form with simple explanations and simplified proofs. -- Mathematical Reviews "Mathematical Reviews" Details ISBN9812836888 Author Si Si Short Title INTRO TO HIDA DISTRIBUTIONS Publisher World Scientific Publishing Company Language English ISBN-10 9812836888 ISBN-13 9789812836885 Media Book Format Hardcover Year 2009 Publication Date 2009-07-31 Imprint World Scientific Publishing Co Pte Ltd Place of Publication Singapore Country of Publication Singapore DEWEY 519.2 Illustrations black & white illustrations Pages 268 Affiliation Aichi Prefectural Univ, Japan & Yangon Univ, Myanmar Dimensions152mm x 20mm x 229mm We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICY No questions asked, 30 day returns! FREE DELIVERY No matter where you are in Australia, delivery is free. SECURE PAYMENT Peace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:37538416;Condition:Brand new, ISBN-13:9789812836885, Format:Hardcover, Language:English
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