Semi-classical spectral asymptotics of Toeplitz operators on strictly pseudodonvex domains

DOI10.1007/978-981-99-9506-6_8zbMATH Open1548.32013MaRDI QIDQ6616788

Chin-Yu Hsiao, George Marinescu

Publication date: 9 October 2024

zbMATH Keywords

Toeplitz operatorBergman projectorSzegő projectorsemi-classical Fourier intergral operator

Mathematics Subject Classification ID

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Cites Work

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• Über die Kernfunktion eines Bereiches und ihr Verhalten am Rande.
• On the singularities of the Szegő projections on lower energy forms
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases
• Holomorphic Morse inequalities and Bergman kernels
• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Boundary problems for pseudo-differential operators
• Projections in several complex variables
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Berezin–Toeplitz quantization for lower energy forms
• On the asymptotic expansion of Bergman kernel
• Geometric quantization on CR manifolds

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