Analytic Bergman operators in the semiclassical limit
Résumé
Using a new quantization scheme, we construct approximate semi-classical Bergman projections on weighted L² spaces with analytic weights, and show that their kernel functions admit an asymptotic expansion in the class of analytic symbols. As a corollary, we obtain new estimates for asymptotic expansions of the Bergman kernel on C^n and for high powers of ample holomorphic line bundles over compact complex manifolds.
| Origine | Fichiers produits par l'(les) auteur(s) |
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