Semi-Classical Wavefront Set and Fourier Integral Operators

Details Semi-Classical Wavefront Set and Fourier Integral Operators Semi-Classical Wavefront Set and Fourier Integral Operators

2004-07-27

arxiv.org/abs/math/0407460v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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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