Analysis on infinite-dimensional Lie groups and algebras : International Colloquium Marseille 1997, Centre international de rencontres mathématiques, 15-19 September 1997
著者
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
World Scientific, c1998
大学図書館所蔵 全16件
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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