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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 292, Pages 191–208
DOI: https://doi.org/10.1134/S037196851601012X (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
Full-text PDF (286 kB) Citations (3)
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DOI: https://doi.org/10.1134/S037196851601012X
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).
Received: September 24, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 292, Pages 185–201
DOI: https://doi.org/10.1134/S0081543816010120
Bibliographic databases:
Document Type: Article
UDC: 512.547.4+511.687
Language: Russian
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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  • https://doi.org/10.1134/S037196851601012X
  • https://www.mathnet.ru/eng/tm/v292/p191
    • This publication is cited in the following 3 articles:
    1. 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  zmath  adsnasa  isi  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, “The Discrete Heisenberg Group and Its Automorphism Group”, Math. Notes, 98:1 (2015), 185–188  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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