Analytic Berezin–Toeplitz operators
| Autor: | Laurent Charles |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Mathematics::Complex Variables General Mathematics 010102 general mathematics Microlocal analysis Space (mathematics) 01 natural sciences Toeplitz matrix 0103 physical sciences Covariance and contravariance of vectors 010307 mathematical physics 0101 mathematics Algebra over a field Mathematics::Symplectic Geometry Symbol (formal) Bergman kernel Mathematics |
| Zdroj: | Mathematische Zeitschrift. 299:1015-1035 |
| ISSN: | 1432-1823 0025-5874 |
| DOI: | 10.1007/s00209-021-02720-y |
| Popis: | We introduce new tools for analytic microlocal analysis on Kahler manifolds. As an application, we prove that the space of Berezin–Toeplitz operators with analytic contravariant symbol is an algebra. We also give a short proof of the Bergman kernel asymptotics up to an exponentially small error. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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