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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999) >
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http://hdl.handle.net/10077/4362
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| Title: | Irreducible unitary representations of a diffeomorphisms group of an infinite-dimensional real manifold |
| Authors: | Lüdkovsky, S.V. |
| Issue Date: | 1999 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Scienze Matematiche |
| Citation: | S.V. Lüdkovsky, "Irreducible unitary representations of a diffeomorphisms group of an infinite-dimensional real manifold", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999), pp. 21-43. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) |
| Abstract: | Groups of diffeomorphisms $Diff_{\beta,\Upsilon}^{t}$ (M) of infinite-dimensionai
real Banach manifolds M are defined. Their structure is studied. Irreducible
unitary representations of a group of diffeomorphisms associated with
quasi-invariant measures on a Banach manifold are constructed. |
| URI: | http://hdl.handle.net/10077/4362 |
| ISSN: | 0049-4704 |
| MS Classification: | 22A10
46B
43A05 |
| Appears in Collections: | Rendiconti dell‘ Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.30 (1999)
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