The Tian–Yau–Zelditch Theorem and Toeplitz Operators

DOI10.1017/S1474748011000016zbMath1226.32009MaRDI QIDQ3012890

Daniel M. jun. Burns, Victor W. Guillemin

Publication date: 7 July 2011

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

holomorphic extensionToeplitz operatorcomplex Monge-Ampère equationdistortion functionSzegö projector

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (1)

Every matrix is a product of Toeplitz matrices

Cites Work

• Unnamed Item
• Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
• Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds
• Complex structures on tangent bundles of Riemannian manifolds
• Canonical coordinates and Bergmann metrics
• Residue traces for certain algebras of Fourier integral operators
• Convergence of Bergman geodesics on \(\text{CP}^1\)
• The Monge-Ampère operator and geodesics in the space of Kähler potentials
• Complex Monge-Ampere and Symplectic Manifolds

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