Introduction to Hida distributions /

Saved in:
Bibliographic Details
Author / Creator:Si, Si.
Imprint:Singapore ; Hackensack, NJ : World Scientific, ©2012.
Description:1 online resource (xiii, 253 pages) : illustrations
Language:English
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11124229
Hidden Bibliographic Details
ISBN:9812836896
9789812836892
9812836888
9789812836885
Notes:Includes bibliographical references (pages 243-249) and index.
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 on White Noise Functionals published in 2008, with detailed background provided.
Other form:Print version: Si, Si. Introduction to Hida distributions. Singapore : World Scientific, ©2012 9812836888