Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces

DOI10.1016/j.aim.2023.109324arXiv2204.04337MaRDI QIDQ6058894

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Publication date: 1 November 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.04337

zbMATH Keywords

Toeplitz operatorquantizationweighted Bergman spaceConnes-Chern characterHelton-Howe trace

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Special classes of linear operators (47Bxx) Holomorphic functions of several complex variables (32Axx)

Cites Work

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• Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
• Hankel operators and the Dixmier trace on strictly pseudoconvex domains
• Toeplitz quantization and asymptotic expansions for real bounded symmetric domains
• The Dixmier trace of Hankel operators on the Bergman space
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Berezin--Toeplitz quantization and composition formulas
• Schatten class membership of Hankel operators on the unit sphere
• Quantum mechanics and partial differential equations
• Quantum Riemann surfaces. I: The unit disc
• Deformation estimates for the Berezin-Toeplitz quantization
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Traces of commutators of integral operators
• Mosaics, principal functions, and mean motion in von Neumann algebras
• Schatten-norm identities for Hankel operators
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
• Weighted Bergman kernels and quantization
• Asymptotics of the Berezin transform and quantization on planar domains
• The local index formula in noncommutative geometry
• Deformation quantizations with separation of variables on a Kähler manifold
• The Helton-Howe trace formula for submodules
• An integral formula for Schatten norm on the Hardy space: the only high-dimensional case
• Poisson geometry and deformation quantization near a strictly pseudoconvex boundary
• Commutators and systems of singular integral equations. I
• An Excursion into Berezin–Toeplitz Quantization and Related Topics
• Hankel operators and the Dixmier trace on the Hardy space
• Traces of Commutators of Integral Operators – the Aftermath
• Asymptotic equivariant index of Toeplitz operators and relative index of CR structures
• Berezin–Toeplitz quantization on Kähler manifolds
• Noncommutative microlocal analysis. I
• Schatten Class Hankel Operators on the Bergman Space of the Unit Ball
• Heisenberg calculus and spectral theory of hypoelliptic operators on Heisenberg manifolds
• Toeplitz and Hankel operators and Dixmier traces on the unit ball of $\mathbb C^n$
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Membership of Hankel Operators on the Ball in Unitary Ideals
• Calculus on Heisenberg Manifolds. (AM-119)
• Spaces of Holomorphic Functions in the Unit Ball
• Berezin Quantization and Reproducing Kernels on Complex Domains
• QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS
• Trace formula of semicommutators

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