Representations of the Infinite-Dimensional Affine Group
Kondratiev Y (2020)
Methods of Functional Analysis and Topology 26(4): 348-355.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Einrichtung
Abstract / Bemerkung
We introduce an infinite-dimensional affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However it is possible to define its action on some classes of functions.
Stichworte
Affine group;
configurations;
Poisson measure;
ergodicity
Erscheinungsjahr
2020
Zeitschriftentitel
Methods of Functional Analysis and Topology
Band
26
Ausgabe
4
Seite(n)
348-355
ISSN
1029-3531
Page URI
https://pub.uni-bielefeld.de/record/2951315
Zitieren
Kondratiev Y. Representations of the Infinite-Dimensional Affine Group. Methods of Functional Analysis and Topology . 2020;26(4):348-355.
Kondratiev, Y. (2020). Representations of the Infinite-Dimensional Affine Group. Methods of Functional Analysis and Topology , 26(4), 348-355. doi:10.31392/MFAT-npu26_4.2020.06
Kondratiev, Yuri. 2020. “Representations of the Infinite-Dimensional Affine Group”. Methods of Functional Analysis and Topology 26 (4): 348-355.
Kondratiev, Y. (2020). Representations of the Infinite-Dimensional Affine Group. Methods of Functional Analysis and Topology 26, 348-355.
Kondratiev, Y., 2020. Representations of the Infinite-Dimensional Affine Group. Methods of Functional Analysis and Topology , 26(4), p 348-355.
Y. Kondratiev, “Representations of the Infinite-Dimensional Affine Group”, Methods of Functional Analysis and Topology , vol. 26, 2020, pp. 348-355.
Kondratiev, Y.: Representations of the Infinite-Dimensional Affine Group. Methods of Functional Analysis and Topology . 26, 348-355 (2020).
Kondratiev, Yuri. “Representations of the Infinite-Dimensional Affine Group”. Methods of Functional Analysis and Topology 26.4 (2020): 348-355.
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