The Bergman kernel of the minimal ball and applications
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Publication:1360860
DOI10.5802/AIF.1585zbMath0873.32025OpenAlexW2325970385MaRDI QIDQ1360860
Peter Pflug, Karl Oeljeklaus, El Hassan Youssfi
Publication date: 22 July 1997
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1997__47_3_915_0
Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Proper holomorphic mappings, finiteness theorems (32H35)
Related Items (26)
Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold ⋮ Duality of Fock spaces with respect to the minimal norm ⋮ Radial balanced metrics on the unit ball of the Kepler manifold ⋮ Reducing submodules of Hilbert modules and Chevalley-Shephard-Todd theorem ⋮ Lu Qi-Keng's problem on some complex ellipsoids ⋮ The zeros of the Bergman kernel for some Reinhardt domains ⋮ Explicit formulas of the Bergman kernel for some Reinhardt domains ⋮ HOLOMORPHIC AUTOMORPHISMS AND PROPER HOLOMORPHIC SELF-MAPPINGS OF A TYPE OF GENERALISED MINIMAL BALL ⋮ The explicit forms and zeros of the Bergman kernel function for Hartogs type domains ⋮ Limits of an increasing sequence of complex manifolds ⋮ Unnamed Item ⋮ ON DISCONTINUITY OF THE BERGMAN KERNEL FUNCTION ⋮ Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds ⋮ Lu Qi-Keng conjecture and Hua domain ⋮ Matrix quasinorms induced by maximal and minimal vector norms ⋮ An explicit computation of the Bergman kernel function ⋮ The explicit forms and zeros of the Bergman kernel for 3-dimensional Hartogs triangles ⋮ On the zeros of the slice Bergman kernels for the upper half space and the unit ball on quaternions and Clifford algebras ⋮ Uniform extendibility of the Bergman kernel for generalized minimal balls ⋮ Bergman kernel function for Hartogs domains over bounded homogeneous domains ⋮ On the non-existence of common submanifolds of Kähler manifolds and complex space forms ⋮ The Bergman kernel function for intersections of some cylindrical domains and Lauricella's hypergeometric function ⋮ Unnamed Item ⋮ Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains ⋮ Holomorphic Lefschetz fixed point formula for non-compact Kähler manifolds ⋮ Umehara algebra and complex submanifolds of indefinite complex space forms
Cites Work
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- Automorphism groups of certain domains in \({\mathbb{C}}^ n\) with a singular boundary
- On a minimal complex norm that extends the real Euclidean norm
- Bergman and Szegö kernels for strictly pseudo-convex domains which generalize the unit ball.
- On proper holomorphic mappings of strictly pseudoconvex domains
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Proper holomorphic mappings and related automorphism groups
- Proper holomorphic mappings between circular domains
- Uniform extendibility of the Bergman kernel
- Invariant distances and metrics in complex analysis
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