Infinite dimensional harmonic analysis III proceedings of the third German-Japanese symposium, 15-20 September, 2003, University of Tübingen, Germany

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 Levy 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. Recent developments on harmonic forms and L2-Betti numbers of infinite configuration spaces with poisson measures -- Une R6ciprocit6 de Frobenius -- Markov property of monotone l6vy processes -- Geometric properties of the set of extensions of a stochastic matrix -- Heat kernel analysis on infinite dimensional groups -- On Mehler semigroups, stable hemigroups and selfdecomposability -- On infinite divisibility and embedding of probability measures on a locally compact Abelian group -- Character formula for wreath products of Finite groups with the infinite symmetric group -- Remark on Bianes character formula and concentration phenomenon in asymptotic representation theory -- Real hardy spaces on real rank 1 semisimple lie groups -- White noise analysis, filtering equation and the index theorem for families -- Laplace approximations for diffusion processes -- A note on Afine quotients and equivariant double fibrations -- Admissible white noise operators and their quantum white noise derivatives -- PDE approach to invariant and Gibbs measures with applications -- Deformations of convolution semigroups on commutative hypergroups -- An infinite dimensional Laplacian acting on multiple Wiener integrals by Some LCvy processes --L6vy processes on deformations of Hopf algebras -- Unitary representations of the group of diffeomorphisms via restricted product measures with infinite mass -- An application of the method of moments in random matrix theory -- Isotropy representation for Harish-Chandra modules "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 Levy 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."--BOOK JACKET 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. Contains contributions on results in infinite dimensional harmonic analysis and its applications to probability theory. This book deals with purely analytic topics such as Frobenius reciprocity, diffeomorphism groups, equivariant fibrations and Harish-Chandra modules. It also discusses stochastic processes, in particular Levy processes.