White Noise Analysis

White Noise Analysis

Mathematics and Applications

by T Hida, H H Kuo, J Potthoff, L Streit

436 pages· 1990· ISBN 9789814611565
About
This proceedings contains articles on white noise analysis and related subjects. Applications in various branches of science are also discussed. White noise analysis stems from considering the time derivative of Brownian motion (“white noise”) as the basic ingredient of an infinite dimensional calculus. It provides a powerful mathematical tool for research fields such as stochastic analysis, potential theory in infinite dimensions and quantum field theory. Contents:Exponential Estimates of Large Devivation Type for Itô Processes in Hilbert Space (P L Chow)Multilevel Branching Systems (D A Dawson et al)White Noise Analysis - An Overview (T Hida and J Potthoff)Generalized Functionals on ( R∞, B∞, N∞ ) (K Itô)White Noise Analysis as a Tool in Computing Feynman Integrals (D C Khandeka)White Noise from a Hilbert Space Point of View (P A Meyer)Anticipating Stochastic Calculus and Applications (D Ocone)Hierarchy of Noise Production in Living Cells (F Oosawa)Linear Kernels Associated with Distributions of Stochastic Processes (W Smolenski)Positive Generalized Brownian Functionals (Y Yokoi)and others Readership: Mathematicians and mathematical physicists.

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