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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 353–360
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-353-360 (Mi vtamu33) 		 
Scientific articles

Polynomial quantiztion and overalgebra for hyperboloid of one sheet

V. F. Molchanov

Tambov State University named after G.R. Derzhavin
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-353-360
Abstract: We show that the multiplication of symbols in polynomial quantization is exactly an action of an overalgebra on the space of these symbols.
Keywords: quantization, representations, hyperboloids, Poisson transforms.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 3.8515.2017/8.9
The work is supported by the Ministry of Education and Science of the Russian Federation (Project № 3.8515.2017/8.9).
Received: 03.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: English
Citation: V. F. Molchanov, “Polynomial quantiztion and overalgebra for hyperboloid of one sheet”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 353–360
Citation in format AMSBIB
\Bibitem{Mol18}
\by V.~F.~Molchanov
\paper Polynomial quantiztion and overalgebra for hyperboloid of one sheet
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 353--360
\mathnet{http://mi.mathnet.ru/vtamu33}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-353-360}
\elib{https://elibrary.ru/item.asp?id=36452681}
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