Quantum cutting and a Szegö limit theorem

Details Quantum cutting and a Szegö limit theorem Quantum cutting and a Szegö limit theorem

2009-11-02

arxiv.org/abs/0911.0388v2

Mathematics

Spectral Theory

This paper has been withdrawn by the authors. This paper has been superseded by our paper arXiv:1105.5471

Scientific paper

Given a representation of the circle group by semiclassical Fourier integral
operators, we construct an algebra of semiclassical pseudodifferential
operators that are a quantum analogue of the notion of symplectic cutting of
Lerman, and we prove an associated Szeg\"o limit theorem.

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