Representations of the infinite-dimensional p-adic affine group

Kochubei AN, Kondratiev Y (2020)
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 23(1): 2050002.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kochubei, Anatoly N.; Kondratiev, YuriUniBi
Abstract / Bemerkung
We introduce an infinite-dimensional p-adic 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
p-Adic numbers; affine group; configurations; Poisson measure; ergodicity
Erscheinungsjahr
2020
Zeitschriftentitel
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
Band
23
Ausgabe
1
Art.-Nr.
2050002
ISSN
0219-0257
eISSN
1793-6306
Page URI
https://pub.uni-bielefeld.de/record/2944205

Zitieren

Kochubei AN, Kondratiev Y. Representations of the infinite-dimensional p-adic affine group. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 2020;23(1): 2050002.
Kochubei, A. N., & Kondratiev, Y. (2020). Representations of the infinite-dimensional p-adic affine group. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 23(1), 2050002. doi:10.1142/S0219025720500022
Kochubei, A. N., and Kondratiev, Y. (2020). Representations of the infinite-dimensional p-adic affine group. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 23:2050002.
Kochubei, A.N., & Kondratiev, Y., 2020. Representations of the infinite-dimensional p-adic affine group. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 23(1): 2050002.
A.N. Kochubei and Y. Kondratiev, “Representations of the infinite-dimensional p-adic affine group”, INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, vol. 23, 2020, : 2050002.
Kochubei, A.N., Kondratiev, Y.: Representations of the infinite-dimensional p-adic affine group. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS. 23, : 2050002 (2020).
Kochubei, Anatoly N., and Kondratiev, Yuri. “Representations of the infinite-dimensional p-adic affine group”. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 23.1 (2020): 2050002.

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