Infinite Dimensional Harmonic Analysis III Proceedings of the Third German-Japanese Symposium, University of Tubingen, Germany 15 - 20 September 2003 |
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| Author:
| Heyer, Herbert |
| Editor:
| Heyer, Herbert
Hirai, Takeshi
Kawazoe, Takeshi |
| ISBN: | 978-1-281-89714-5 |
| Publication Date: | Jan 2005 |
| Publisher: | World Scientific Publishing Co Pte Ltd
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| Book Format: | Ebook |
| List Price: | USD $255.00 |
Book Description:
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This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes, in particular Lévy processes. The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing...
More Description
This volume contains contributions on recent results in infinite dimensional harmonic analysis and its applications to probability theory. Some papers deal with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. Several other papers touch upon stochastic processes, in particular Lévy processes. The majority of the contributions emphasize on the algebraic-topological aspects of the theory by choosing configuration spaces, locally compact groups and hypergroups as their basic structures. The volume provides a useful survey of innovative work pertaining to a highly actual section of modern analysis in its pure and applied shapings.
Contents: Recent Developments on Harmonic Forms and "L"2-Betti Numbers of Infinite Configuration Spaces with Poisson Measures "(S Albeverio & A Daletsukii)"Une Réciprocité de Frobenius "(H Fujiwara)"Markov Property of Monotone Lévy Processes "(U Franz & N Muraki)"Geometric Properties of the Set of Extensions of a Stochastic Matrix "(R Gohm)"Heat Kernel Analysis on Infinite Dimensional Groups "(M Gordina)"On Infinite Divisibility and Embedding of Probability Measures on a Locally Compact Abelian Group "(H Heyer & G Pap)"White Noise Analysis, Filtering Equation and the Index Theorem for Families "(R Léandre)"Admissible White Noise Operators and Their Quantum White Noise Derivatives "(U C Ji & N Obata)"PDE Approach to Invariant and Gibbs Measures with Applications "(M Röckner)"An Infinite Dimensional Laplacian Acting on Multiple Wiener Integrals by Some Lévy Process "(K Saitô)"Lévy Processes on Deformations of Hopf Algebras "(M Schürmann)"An Application of the Method of Moments in Random Matrix Theory "(M Stolz)"and other papers
Readership: Researchers in the fields of probability and statistics and mathematical physics.