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Field name	Details
Dewey Class	519.2
Title	White Noise on Bialgebras ([EBook] /) / by Michael Schürmann.
Author	Schuermann, Michael
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1993.
Physical Details	VI, 146 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1544
ISBN	9783540476146
Summary Note	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 note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0089237
Links to Related Works	Subject References: Algebra . Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Physics . Probabilities . Probability theory and stochastic processes . Theoretical, Mathematical and Computational Physics . Authors: Schuermann, Michael . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519.2 .

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White Noise on Bialgebras

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