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arxiv: 0910.3059 · v1 · submitted 2009-10-16 · 🧮 math.SP · math-ph· math.MP· math.SG

A local Szeg\"o-type theorem in Toeplitz quantization

classification 🧮 math.SP math-phmath.MPmath.SG
keywords toeplitzlocalo-typeszegtheoremboutetbundlescompact
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A Szeg\"o-type theorem for Toeplitz operators was proved by Boutet de Monvel and Guillemin for general Toeplitz structures. We give a local version of this result in the setting of positive line bundles on compact symplectic manifolds.

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