Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold

DOI10.1016/j.jfa.2016.04.018zbMath1341.32004arXiv1601.03721OpenAlexW2963222424MaRDI QIDQ285811

Miroslav Engliš, Hélène Bommier-Hato, El Hassan Youssfi

Publication date: 19 May 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03721

zbMATH Keywords

Bergman kernelbalanced metricKepler manifoldTian-Yau-Zelditch expansion

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Kähler manifolds (32Q15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Radial balanced metrics on the unit ball of the Kepler manifold ⋮ Uniqueness of smooth radial balanced metrics on the disc ⋮ Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moment maps, scalar curvature and quantization of Kähler manifolds
• Bergman-type projections in generalized Fock spaces
• On a set of polarized Kähler metrics on algebraic manifolds
• Inequality for the distortion function of invertible sheaves on abelian varieties
• On a minimal complex norm that extends the real Euclidean norm
• On the Fourier-Borel transformations of analytic functionals on the complex sphere
• On a Bargmann-type transform and a Hilbert space of holomorphic functions
• Canonical coordinates and Bergmann metrics
• Proper holomorphic mappings and related automorphism groups
• The Bergman kernel of the minimal ball and applications
• Scalar curvature and projective embeddings. I
• Weighted Bergman kernels and quantization
• The weighted Bergman projection and related theory on the minimal ball
• TYZ expansion for the Kepler manifold
• \(L^2\)-properties of the \(\overline{\partial}\) and the \(\overline{\partial}\)-Neumann operator on spaces with isolated singularities
• Spherical harmonics
• The Bloch space for the minimal ball
• The Bergman projection in spaces of entire functions
• Hankel Operators on Weighted Bergman Spaces
• Membership of Hankel Operators on the Ball in Unitary Ideals
• QUANTIZATION
• COHERENT STATES AND KAHLER MANIFOLDS

This page was built for publication: Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold