A01=Si Si
Author_Si Si
Canonical Commutation Relations
Category=PBT
Creation and Annihilation Operators
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fock Space
Generalized White Noise Functional
Hida Distribution
LAfA(C)vy Laplacian
Levy Laplacian
Lévy Laplacian
Path Integral
S-Transform
Stochastic Analysis
White Noise
Product details
- ISBN 9789812836885
- Publication Date: 29 Sep 2011
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
