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Matematicheskie Zametki, 2022, Volume 112, Issue 4, Pages 586–600
DOI: https://doi.org/10.4213/mzm13731 (Mi mzm13731) 		 
Berezin–Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry

Yu. A. Kordyukovab

a Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
b Kazan (Volga Region) Federal University
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DOI: https://doi.org/10.4213/mzm13731
Abstract: The theory of Berezin–Toeplitz quantization on symplectic manifolds of bounded geometry is developed. The quantization space is a suitable eigenspace of the renormalized Bochner operator associated with a neighborhood of zero. It is proved that quantization has a correct semiclassical limit.
Keywords: Berezin–Toeplitz quantization, Bochner Laplacian, symplectic manifold, manifold of bounded geometry.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
This work was carried out in the framework of the development program of the Scientific-Educational Mathematical Center of Volga Federal District (agreement no. 075-02-2020-1478).
Received: 14.03.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 4, Pages 576–587
DOI: https://doi.org/10.1134/S0001434622090267
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. A. Kordyukov, “Berezin–Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry”, Mat. Zametki, 112:4 (2022), 586–600; Math. Notes, 112:4 (2022), 576–587
Citation in format AMSBIB
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\by Yu.~A.~Kordyukov
\paper Berezin--Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 4
\pages 586--600
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\crossref{https://doi.org/10.4213/mzm13731}
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\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 4
\pages 576--587
\crossref{https://doi.org/10.1134/S0001434622090267}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85140638435}
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