Analysis on infinite-dimensional Lie groups and algebras : International Colloquium Marseille 1997, Centre international de rencontres mathématiques, 15-19 September 1997

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書誌事項

Analysis on infinite-dimensional Lie groups and algebras : International Colloquium Marseille 1997, Centre international de rencontres mathématiques, 15-19 September 1997

edited by Herbert Heyer, Jean Marion

World Scientific, c1998

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注記

"Colloquium on "Analysis on Infinite-Dimensional Lie Groups and Algebras"" -- Pref

内容説明・目次

内容説明

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures. Topics covered in this volume include integrability and regularity for Lie groups and Lie algebras, actions of infinite-dimensional Lie groups on manifolds of paths and related minimal orbits, quasi-invariant measures, white noise analysis, harmonic analysis on generalized convolution structures, and noncommutative geometry. A special feature of this volume is the interrelationship between problems of pure and applied mathematics and also between mathematics and physics.

目次

  • On Poisson diffeomorphisms
  • Gauss measures on locally-compact groups
  • infinite-dimensional non-Gaussian analysis connected with generalized translation operators
  • representation of diffeomorphisms on compound Poisson space
  • Lie groups and algebras in infinite dimension from a geometric point of view
  • fourth geometry of Poincare and the Virasoro Group
  • on convolution semigroups appearing as limit distributions of group-valued random variables
  • convergence of convolution hemigroups on a Moore group and of the corresponding stochastic processes, H. Heyer and G. Pap
  • measures on infinite dimensional groups quasi-invariant with respect to inverse mapping
  • entire functionals and generalized functionals
  • on quantum noise
  • homology on the loop space
  • on algebras of infinite-dimensional non-commutative tori
  • some applications of white noise analysis. (Part contents)

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