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 wavefront set, Fourier integral operators, Egorov theorem, semi-classical analysis

MSC Classifications:

35S30, 35A27, 58J40, 81Q20 show english descriptions Fourier integral operators
Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15]
Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx]
Semiclassical techniques, including WKB and Maslov methods 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

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