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Toeplitz Operators on Kähler Manifolds : Examples.

By: Barron, Tatyana.
Material type: TextTextSeries: eBooks on Demand.SpringerBriefs in Mathematics Ser: Publisher: Cham : Springer, 2018Copyright date: ©2018Description: 1 online resource (89 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9783319942926.Subject(s): Toeplitz operatorsGenre/Form: Electronic books.Additional physical formats: Print version:: Toeplitz Operators on Kähler Manifolds : ExamplesDDC classification: 515.7246 LOC classification: QA1-939Online resources: Click here to view this ebook.
Contents:
Intro -- Preface -- Contents -- Symbols -- 1 Introduction -- 2 Preliminaries -- 2.1 Metric Spaces -- 2.2 Normed Spaces, Linear Operators -- 2.3 Generalized Commutator -- 2.4 Hilbert Spaces -- 2.5 Real and Complex Analysis -- 2.5.1 O and o Symbols -- 2.5.2 Fourier Transform -- 2.5.3 Function Spaces -- 2.6 Differential Geometry -- 2.7 Toeplitz Operators -- 2.7.1 Smooth Symbols -- 2.7.2 Cl Symbols -- 2.8 Brackets -- 2.9 Lie Algebras and Representations -- 3 Toeplitz Operators on the Sphere -- 4 Toeplitz Operators on the Torus -- 5 Toeplitz Operators on Multisymplectic and Hyperkähler Manifolds -- 5.1 A (2n-1)-Plectic Structure on an n-Dimensional Kähler Manifold and Toeplitz Operators -- 5.2 The Hyperkähler Case -- 5.2.1 Direct Sum -- 5.2.2 Direct Sum: Dimension 4 -- 5.2.3 Tensor Product -- 5.2.4 Tensor Product-Continued -- 5.3 Example: A 4-Torus -- References -- Index.
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Item type Current location Call number URL Status Date due Barcode
Electronic Book UT Tyler Online
Online
QA1-939 (Browse shelf) https://ebookcentral.proquest.com/lib/uttyler/detail.action?docID=5475343 Available EBC5475343

Intro -- Preface -- Contents -- Symbols -- 1 Introduction -- 2 Preliminaries -- 2.1 Metric Spaces -- 2.2 Normed Spaces, Linear Operators -- 2.3 Generalized Commutator -- 2.4 Hilbert Spaces -- 2.5 Real and Complex Analysis -- 2.5.1 O and o Symbols -- 2.5.2 Fourier Transform -- 2.5.3 Function Spaces -- 2.6 Differential Geometry -- 2.7 Toeplitz Operators -- 2.7.1 Smooth Symbols -- 2.7.2 Cl Symbols -- 2.8 Brackets -- 2.9 Lie Algebras and Representations -- 3 Toeplitz Operators on the Sphere -- 4 Toeplitz Operators on the Torus -- 5 Toeplitz Operators on Multisymplectic and Hyperkähler Manifolds -- 5.1 A (2n-1)-Plectic Structure on an n-Dimensional Kähler Manifold and Toeplitz Operators -- 5.2 The Hyperkähler Case -- 5.2.1 Direct Sum -- 5.2.2 Direct Sum: Dimension 4 -- 5.2.3 Tensor Product -- 5.2.4 Tensor Product-Continued -- 5.3 Example: A 4-Torus -- References -- Index.

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