A note on Berezin-Toeplitz quantization of the Laplace operator
Abstract: Given a Hodge manifold, it is introduced a self-adjoint operator on the space of endomorphisms of the global holomorphic sections of the polarization line bundle. Such operator is shown to approximate the Laplace operator on functions when composed with Berezin-Toeplitz quantization map and its adjoint, up to an error which tends to zero when taking higher powers of the polarization line bundle.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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A note on Berezin-Toeplitz quantization of the Laplace operator ; volume:2 ; number:1 ; year:2015 ; extent:9
Complex manifolds ; 2, Heft 1 (2015) (gesamt 9)
- Urheber
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Vedova, Alberto Della
- DOI
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10.1515/coma-2015-0010
- URN
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urn:nbn:de:101:1-2410281500236.432680466778
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 15.08.2025, 07:31 MESZ
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Beteiligte
- Vedova, Alberto Della
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