On a representation of smooth invariants of Coxeter groups in terms of anisotropic spaces
β Scribed by A. O. Gokhman
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 226 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
Let M be a smooth manifold and Diff 0 (M) the group of all smooth diffeomorphisms on M with compact support. Our main subject in this paper concerns the existence of certain quasi-invariant measures on groups of diffeomorphisms, and the denseness of C . -vectors for a given unitary representation U
In this paper the generalized fractional integration operators defined by KIRYAKOVA [6], [7] are expressed in terms of the Laplace transform L and its inverse L -' . These decomposition results are established on L, spaces and some examples are deduced as their special cases.
## Abstract When a system under consideration has some symmetry, usually its Hamiltonian space can be parallel partitioned into a set of subspaces, which is invariant under symmetry operations. The bases that span these invariant subspaces are also invariant under the symmetry operations, and they