White Noise on Bialgebras

Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L....

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Bibliographic Details
Main Author Schurmann, Michael
Format eBook
LanguageEnglish
Published Berlin, Heidelberg Springer Berlin / Heidelberg 2006
Springer Berlin Heidelberg
Springer
Edition1
SeriesLecture Notes in Mathematics
Subjects
Algebra
Analysis
Distribution (Probability theory
Global analysis (Mathematics)
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Quantum theory-Mathematics
Theoretical, Mathematical and Computational Physics
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Cover

Table of Contents:
  • Basic concepts and first results -- Symmetric white noise on Bose Fock space -- Symmetrization -- White noise on bose fock space -- Quadratic components of conditionally positive linear functionals -- Limit theorems.