Berezin--Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry
Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 586-600

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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.
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     author = {Yu. A. Kordyukov},
     title = {Berezin--Toeplitz {Quantization} on {Symplectic} {Manifolds} of {Bounded} {Geometry}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a7/}
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Yu. A. Kordyukov. Berezin--Toeplitz Quantization on Symplectic Manifolds of Bounded Geometry. Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 586-600. http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a7/