A trace formula for Toeplitz operators was proved by Boutet de Monvel and Guillemin in the setting of general Toeplitz structures. Here, we give a local version of this result for a class of Toeplitz operators related to continuous groups of symmetries on quantizable compact symplectic manifolds. The local trace formula involves certain scaling asymptotics along the clean fixed locus of the Hamiltonian flow of the symbol, reminiscent of the scaling asymptotics of the equivariant components of the Szegö kernel along the diagonal
Paoletti, R. (2010). Local trace formulae and scaling asymptotics in Toeplitz quantization. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 7(3), 379-403.
Citazione: | Paoletti, R. (2010). Local trace formulae and scaling asymptotics in Toeplitz quantization. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 7(3), 379-403. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Local trace formulae and scaling asymptotics in Toeplitz quantization |
Autori: | Paoletti, R |
Autori: | |
Data di pubblicazione: | 2010 |
Lingua: | English |
Rivista: | INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S021988781000435X |
Appare nelle tipologie: | 01 - Articolo su rivista |