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Trudy Mat. Inst. Steklova, 2016, Volume 292, Pages 191–208 (Mi tm3692)  
This article is cited in 3 scientific papers (total in 3 papers)

Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields

D. V. Osipovab, A. N. Parshinb

a National University of Science and Technology «MISIS», Moscow, Russia
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We study a natural action of the Heisenberg group of integer unipotent matrices of the third order on the distribution space of a two-dimensional local field for a flag on a two-dimensional scheme.

Funding Agency Grant Number
Russian Foundation for Basic Research 13-01-12420-офи_м2
14-01-00178a
Ministry of Education and Science of the Russian Federation НШ-2998.2014.1
This work was supported in part by the Russian Foundation for Basic Research (project nos. 13-01-12420-ofi_m2 and 14-01-00178a) and by a grant of the President of the Russian Federation (project no. NSh-2998.2014.1).


DOI: https://doi.org/10.1134/S037196851601012X

Full text: PDF file (286 kB)
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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 292, 185–201

Bibliographic databases:

ArXiv: 1510.02423
UDC: 512.547.4+511.687
Received: September 24, 2015

Citation: D. V. Osipov, A. N. Parshin, “Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 191–208; Proc. Steklov Inst. Math., 292 (2016), 185–201

Citation in format AMSBIB
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\bookinfo Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday
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\vol 292
\pages 191--208
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. V. Osipov, “The Discrete Heisenberg Group and Its Automorphism Group”, Math. Notes, 98:1 (2015), 185–188  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    2. A. N. Parshin, “The Mellin Transform and the Plancherel Theorem for the Discrete Heisenberg Group”, Proc. Steklov Inst. Math., 307 (2019), 174–192  mathnet  crossref  crossref  mathscinet  isi  elib
    3. D. V. Osipov, A. N. Parshin, “Harmonic analysis on the rank-$2$ value group of a two-dimensional local field”, Sb. Math., 211:1 (2020), 115–160  mathnet  crossref  crossref  mathscinet  isi  elib
    		• Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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