Stochastic processes on totally disconnected topological groups
Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces. Theorems about a quasi-invariance and a pseudodifferentiability of transition measures are pro...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203108162 |
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| Summary: | Stochastic processes on totally disconnected topological groups
are investigated. In particular, they are considered for
diffeomorphism groups and loop groups of manifolds on
non-Archimedean Banach spaces. Theorems about a quasi-invariance
and a pseudodifferentiability of transition measures are proved.
Transition measures are used for the construction of strongly
continuous representations including the irreducible ones of
these groups. In addition, stochastic processes on general
Banach-Lie groups, loop monoids, loop spaces, and path spaces of
manifolds on Banach spaces over non-Archimedean local fields are
also investigated. |
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| ISSN: | 0161-1712 1687-0425 |