New classes of domains with explicit Bergman kernel

zbMath1079.32002arXivmath/0301322MaRDI QIDQ2386530

Weiping Yin, Keping Lu, Guy Roos

Publication date: 30 August 2005

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0301322

zbMATH Keywords

Cartan domainbounded symmetric domainsHuan integral

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (22)

The equivalence on classical metrics ⋮ AUTOMORPHISMS OF THE HARTOGS TYPE DOMAINS OVER CLASSICAL SYMMETRIC DOMAINS ⋮ The zeros of the Bergman kernel for some Reinhardt domains ⋮ A Cartan-Hartogs version of the polydisk theorem ⋮ The Kähler-Einstein metric for some Hartogs domains over symmetric domains ⋮ Submanifolds of some Hartogs domain and the complex Euclidean space ⋮ The explicit forms and zeros of the Bergman kernel function for Hartogs type domains ⋮ Balanced metrics on Cartan and Cartan-Hartogs domains ⋮ Berezin-Engliš' quantization of Cartan-Hartogs domains ⋮ On canonical metrics on Cartan-Hartogs domains ⋮ Unnamed Item ⋮ Weighted Bergman kernels and virtual Bergman kernels ⋮ Lu Qi-Keng conjecture and Hua domain ⋮ Hilbert spaces of holomorphic functions on generalized Cartan–Hartogs domains ⋮ On the Szegő kernel of Cartan-Hartogs domains ⋮ Rawnsley's \(\varepsilon\)-function on some Hartogs type domains over bounded symmetric domains and its applications ⋮ Bergman kernel function for Hartogs domains over bounded homogeneous domains ⋮ Zeros of Bergman kernels on some Hartogs domains ⋮ Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains ⋮ Symplectic geometry of Cartan-Hartogs domains ⋮ The Bergman kernels of generalized Bergman-Hartogs domains ⋮ Balanced metrics on some Hartogs type domains over bounded symmetric domains

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