Introduction to Hida distributions
 Responsibility
 Si Si.
 Language
 English.
 Imprint
 Singapore ; Hackensack, NJ : World Scientific, c2012.
 Physical description
 xiii, 253 p. : ill ; 24 cm.
Access
Available online
 ebooks.worldscinet.com World Scientific
 ebrary
Math & Statistics Library
Stacks
Call number  Status 

QA274.29 .I58 2012  Unknown 
More options
Creators/Contributors
 Author/Creator
 Si, Si.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 243249) and index.
 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 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.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2012
 ISBN
 9789812836885
 9812836888