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# Semi-Classical Wavefront Set and Fourier Integral Operators

Published:2008-04-01
Printed: Apr 2008
• Ivana Alexandrova
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## Abstract

Here we define and prove some properties of the semi-classical wavefront set. We also define and study semi-classical Fourier integral operators and prove a generalization of Egorov's theorem to manifolds of different dimensions.
 Keywords: wavefront set, Fourier integral operators, Egorov theorem, semi-classical analysis
 MSC Classifications: 35S30 - Fourier integral operators 35A27 - Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15] 58J40 - Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] 81Q20 - Semiclassical techniques, including WKB and Maslov methods