A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
From MaRDI portal
Publication:1593732
DOI10.1006/jfan.2000.3642zbMath0969.32003OpenAlexW2003553579MaRDI QIDQ1593732
Publication date: 30 September 2001
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.2000.3642
Related Items
On the first two coefficients of the Bergman function expansion for radial metrics ⋮ CANONICAL METRICS ON CARTAN–HARTOGS DOMAINS ⋮ Balanced metrics on the Fock-Bargmann-Hartogs domains ⋮ High-power asymptotics of some weighted harmonic Bergman kernels ⋮ An algebra of distributions related to a star product with separation of variables ⋮ TYZ expansion for the Kepler manifold ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ The first two coefficients of the Bergman function expansions for Cartan–Hartogs domains ⋮ An application of a Diederich-Ohsawa theorem in characterizing some Hartogs domains ⋮ On the coefficients of TYZ expansion of locally Hermitian symmetric spaces ⋮ Trace formula of semicommutators ⋮ Helton-Howe trace, Connes-Chern characters and Toeplitz quantization of Bergman spaces ⋮ Characterization of simply connected complex space forms in terms of Bergman functions ⋮ \(M\)-harmonic reproducing kernels on the ball ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ The explicit forms and zeros of the Bergman kernel function for Hartogs type domains ⋮ Forelli-Rudin construction and asymptotic expansion of Szegő kernel on Reinhardt domains ⋮ On canonical metrics on Cartan-Hartogs domains ⋮ Spectral aspects of the Berezin transform ⋮ Weighted Bergman kernels and virtual Bergman kernels ⋮ Remarks on Rawnsley's \(\varepsilon\)-function on the Fock-Bargmann-Hartogs domains ⋮ Rawnsley's \(\varepsilon\)-function on some Hartogs type domains over bounded symmetric domains and its applications ⋮ An explicit formula for the Berezin star product ⋮ On asymptotic expansion of the harmonic Berezin transform on the half-space ⋮ A Laplace integral on a Kähler manifold and Calabi's diastasis function ⋮ Remarks on the canonical metrics on the Cartan-Hartogs domains ⋮ A generalization of the Forelli-Rudin construction and deflation identities ⋮ Higher Laplace-Beltrami operators on bounded symmetric domains ⋮ Finite TYCZ expansions and cscK metrics ⋮ The regular quantizations of certain holomorphic bundles ⋮ ENGLIŠ EXPANSION FOR HARTOGS DOMAINS ⋮ Some remarks on the Kähler geometry of the Taub-NUT metrics ⋮ Formal oscillatory integrals and deformation quantization ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains
Cites Work
- On the conjecture of the equivalence of the plurisubharmonic functions and the Hartogs functions
- Asymptotic expansion of the Bergman kernel for strictly pseudoconvex complete Reinhardt domains in \({\mathbb{C}}^ 2\)
- Measures whose Poisson integrals are pluriharmonic
- Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
- Asymptotic expansion of the Bergman kernel for strictly pseudoconvex complete Reinhardt domains in \(\mathbb{C}^ 2\)
- Analysis of some function spaces associated to Hankel operators
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Asymptotics of the Berezin transform and quantization on planar domains
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- QUANTIZATION
- On the Forelli-Rudin construction and weighted Bergman projections
- Asymptotic behaviour of reproducing kernels of weighted Bergman spaces
- The asymptotics of a Laplace integral on a Kähler manifold
- Berezin Quantization and Reproducing Kernels on Complex Domains
- A note on the Bergman kernel
- Bergman kernel asymptotics for generalized Fock spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A Forelli-Rudin construction and asymptotics of weighted Bergman kernels
