The Bergman kernel function: Explicit formulas and zeroes
From MaRDI portal
Publication:4226291
DOI10.1090/S0002-9939-99-04570-0zbMath0919.32013arXivmath/9706202MaRDI QIDQ4226291
Siqi Fu, Emil J. Straube, Harold P. Boas
Publication date: 25 January 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9706202
Related Items
The Bergman kernel and projection on the Fock–Bargmann–Hartogs domain ⋮ Zero problems of the Bergman kernel function on the first type of Cartan-Hartogs domain ⋮ Lu Qi-Keng's problem for intersection of two complex ellipsoids ⋮ Unnamed Item ⋮ The Bergman kernel of the Fock–Bargmann–Hartogs domain and the polylogarithm function ⋮ Proper holomorphic mappings, Bell's formula, and the Lu Qi-Keng problem on the tetrablock ⋮ Bergman Kernel in Complex Analysis ⋮ On the \(p\)-Bergman theory ⋮ Vanishing Bergman kernels on the disk ⋮ Lu Qi-Keng's problem on some complex ellipsoids ⋮ The zeros of the Bergman kernel for some Reinhardt domains ⋮ Lu Qi-Keng problem and topological properties of zero variety on the Thullen domain ⋮ The explicit forms and zeros of the Bergman kernel function for Hartogs type domains ⋮ Algebraic Bergman kernels and finite type domains in \mathbb{C}^2 ⋮ Operator theory on generalized Hartogs triangles ⋮ Unnamed Item ⋮ Transformation formulas for the Bergman kernels and projections of Reinhardt domains ⋮ New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$ ⋮ Automorphisms of normal quasi-circular domains ⋮ The Bergman kernels on super-Cartan domains of the first type ⋮ ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION ⋮ Weighted Bergman kernels and virtual Bergman kernels ⋮ Bergman kernel function on Hua construction of the second type ⋮ Reproducing kernels of some weighted Bergman spaces ⋮ Weighted Bergman projections and kernels: $L^{p}$ regularity and zeros ⋮ Lu Qi-Keng conjecture and Hua domain ⋮ An index theorem for quotients of Bergman spaces on egg domains ⋮ An explicit computation of the Bergman kernel function ⋮ The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles ⋮ The Bergman kernel on some Hartogs domains ⋮ The corona problem for kernel multiplier algebras ⋮ Cauchy–Riemann meet Monge–Ampère ⋮ Bergman kernel function for Hartogs domains over bounded homogeneous domains ⋮ A generalization of the Forelli-Rudin construction and deflation identities ⋮ Zeros of Bergman kernels on some Hartogs domains ⋮ The Kobayashi metric in the normal direction and the mapping problem ⋮ The Bergman kernel function for intersections of some cylindrical domains and Lauricella's hypergeometric function ⋮ Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in \(\mathbb{C}^2\) ⋮ 𝐿^{𝑝} regularity of weighted Bergman projections ⋮ Two variations of Boas-Fu-Straube's deflation identity ⋮ The Bergman kernels of generalized Bergman-Hartogs domains
