A note on Berezin-Toeplitz quantization of the Laplace operator

to related objects

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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: 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)

Creator: Vedova, Alberto Della

DOI: 10.1515/coma-2015-0010

URN: urn:nbn:de:101:1-2410281500236.432680466778

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:31 AM CEST

Data provider

This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.

Show original at data provider

Associated

Vedova, Alberto Della

Other Objects (12)

Berezin-Toeplitz Quantization and Berezin Transform

Identification of Berezin-Toeplitz Deformation Quantization

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Analysis of Toeplitz operators

Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞

Extreme eigenvalues of Toeplitz operators

Toeplitz operators on Hardy spaces

m-Isometric block Toeplitz operators

On kernels of Toeplitz operators

Dual-Band General Toeplitz Operators

Berezin-Toeplitz Quantization and Berezin Transform

Identification of Berezin-Toeplitz Deformation Quantization

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Analysis of Toeplitz operators

Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞

Extreme eigenvalues of Toeplitz operators

Toeplitz operators on Hardy spaces

m-Isometric block Toeplitz operators

On kernels of Toeplitz operators

Dual-Band General Toeplitz Operators

Berezin-Toeplitz Quantization and Berezin Transform

Identification of Berezin-Toeplitz Deformation Quantization

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Analysis of Toeplitz operators

Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞

Extreme eigenvalues of Toeplitz operators

Toeplitz operators on Hardy spaces

m-Isometric block Toeplitz operators

On kernels of Toeplitz operators

Dual-Band General Toeplitz Operators

Cultural heritage institutions wishing to register will find more information here.

Fields marked * need to be filled in.

Username*

Please enter your username

Email*

Please enter your email address

Please do not fill this field

First name

Last name

Password*

Please enter your password

Confirm password*

Please enter the same password

I have read the terms of use and the privacy policy for the collection of personal data and accept them. *

This field is required.

I would like to subscribe to the newsletter of the Deutsche Digitale Bibliothek. See newsletter subscription info.

Account created

Your "My DDB" account has been successfully created. Before you can log in to your account, you must click the confirmation link in the message we just sent to the email address you provided.

A note on Berezin-Toeplitz quantization of the Laplace operator

Object Details

References and Relationships

Contributors, Places and Time

Further information

Data provider

Associated

Other Objects (12)

Berezin-Toeplitz Quantization and Berezin Transform

Identification of Berezin-Toeplitz Deformation Quantization

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Analysis of Toeplitz operators

Analysis of Toeplitz operators

Analysis of Toeplitz operators

Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞

Extreme eigenvalues of Toeplitz operators

Toeplitz operators on Hardy spaces

m-Isometric block Toeplitz operators

On kernels of Toeplitz operators

Dual-Band General Toeplitz Operators

Berezin-Toeplitz Quantization and Berezin Transform

Identification of Berezin-Toeplitz Deformation Quantization

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Analysis of Toeplitz operators

Analysis of Toeplitz operators

Analysis of Toeplitz operators

Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞

Extreme eigenvalues of Toeplitz operators

Toeplitz operators on Hardy spaces

m-Isometric block Toeplitz operators

On kernels of Toeplitz operators

Dual-Band General Toeplitz Operators

Berezin-Toeplitz Quantization and Berezin Transform

Identification of Berezin-Toeplitz Deformation Quantization

Laplace–Carleson Embeddings on Model Spaces and Boundedness of Truncated Hankel and Toeplitz Operators

Analysis of Toeplitz operators

Analysis of Toeplitz operators

Analysis of Toeplitz operators

Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞

Extreme eigenvalues of Toeplitz operators

Toeplitz operators on Hardy spaces

m-Isometric block Toeplitz operators

On kernels of Toeplitz operators

Dual-Band General Toeplitz Operators

Related objects

Reset password