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arxiv: math/0407460 · v1 · submitted 2004-07-27 · 🧮 math.AP

Semi-Classical Wavefront Set and Fourier Integral Operators

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keywords semi-classicaldefinefourierintegraloperatorsprovewavefrontcharacterization
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We define and prove some properties of the semi-classical wavefront set. We also define and study semi-classical Fourier integral operators, of which we give a complete characterization. Lastly, we prove a generalization of the semi-classical Egorov's Theorem to manifolds of unequal dimensions.

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