A note on Berezin-Toeplitz quantization of the Laplace operator

• Autorzy: Alberto Della Vedova
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2015
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-05-15

zaakceptowano

2015-09-23

online

2015-09-28

Twórcy

autor

Alberto Della Vedova

• Universit`a degli Studi di Milano-Bicocca. Dipartimento di Matematica e Applicazioni.
  Via Cozzi, 53 - 20125 Milano, Italy

Bibliografia

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Identyfikatory

DOI

10.1515/coma-2015-0010