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White Noise on Bialgebras / by Michael Schürmann.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2380-2384 2385-2389,2392
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Schürmann, Michael, 1955- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1544.
- Lecture Notes in Mathematics, 0075-8434 ; 1544
- Language:
- English
- Subjects (All):
- Distribution (Probability theory).
- Global analysis (Mathematics).
- Algebra.
- Probability Theory and Stochastic Processes.
- Analysis.
- Theoretical, Mathematical and Computational Physics.
- Local Subjects:
- Probability Theory and Stochastic Processes.
- Analysis.
- Theoretical, Mathematical and Computational Physics.
- Algebra.
- Physical Description:
- 1 online resource (VI, 146 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
- System Details:
- text file PDF
- Summary:
- 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. Hudsonand K.R. Parthasarathy. The notes are a contribution to quantum probability but they are also related to classical probability, quantum groups, and operator algebras. The Az ma martingales appear as examples of white noise on a Hopf algebra which is a deformation of the Heisenberg group. The book will be of interest to probabilists and quantum probabilists. Specialists in algebraic structures who are curious about the role of their concepts in probablility theory as well as quantum theory may find the book interesting. The reader should havesome knowledge of functional analysis, operator algebras, and probability theory.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540476146
- Access Restriction:
- Restricted for use by site license.
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