Representations of the Infinite-Dimensional Affine Group

Kondratiev, Yuri

dc.contributor.author	Kondratiev, Yuri
dc.date.accessioned	2024-11-08T10:26:55Z
dc.date.available	2024-11-08T10:26:55Z
dc.date.issued	2020
dc.identifier.citation	Kondratiev, Yu. Representations of the Infinite-Dimensional Affine Group / Yu. Kondratiev // Methods of Functional Analysis and Topology : Quarterly journal. – 2020. - Vol. 26, № 4. - pp. 348-355.	uk
dc.identifier.uri	http://enpuir.npu.edu.ua/handle/123456789/46660
dc.description.abstract	We introdu e an in nite-dimensional a ne group and onstru t its irredu ible unitary representation. Our approa h follows the one used by Vershik, Gelfand and Graev for the di eomorphism group, but with modi ations made ne - essary by the fa t that the group does not a t on the phase spa e. However it is possible to de ne its a tion on some lasses of fun tions.	uk
dc.description.abstract		uk
dc.language.iso	en	uk
dc.subject	Affine group	uk
dc.subject	configurations	uk
dc.subject	Poisson measure	uk
dc.subject	ergodicity	uk
dc.title	Representations of the Infinite-Dimensional Affine Group	uk
dc.title.alternative		uk
dc.type	Article	uk
dc.identifier.doi	https://doi.org/10.31392/MFAT-npu26_4.2020.06