Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589665 | Journal of Functional Analysis | 2016 | 25 Pages |
Abstract
For a class of O(n+1,R)O(n+1,R) invariant measures on the Kepler manifold possessing finite moments of all orders, we describe the reproducing kernels of the associated Bergman spaces, discuss the corresponding asymptotic expansions of Tian–Yau–Zelditch, and study the relevant Hankel operators with conjugate holomorphic symbols. Related reproducing kernels on the minimal ball are also discussed. Finally, we observe that the Kepler manifold either does not admit balanced metrics, or such metrics are not unique.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hélène Bommier-Hato, Miroslav Engliš, El-Hassan Youssfi,