Toeplitz operators on symplectic manifolds

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dc.creatorMa, Xiaonan
dc.creatorMarinescu, George
dc.date2008-06-14
dc.date.accessioned2026-07-07T09:44:41Z
dc.date.available2026-07-07T09:44:41Z
dc.descriptionWe study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0806.2370
dc.identifierhttp://arxiv.org/abs/0806.2370
dc.identifierJournal of Geometric Analysis, Volume 18, Number 2 / April 2008, 565-611
dc.identifierdoi:10.1007/s12220-008-9022-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162965
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectComplex Variables
dc.subjectSymplectic Geometry
dc.subject58F06; 81S10;32A25;47B35
dc.titleToeplitz operators on symplectic manifolds
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