Semi-Classical Wavefront Set and Fourier Integral Operators

2004/07/27 by Ivana Alexandrova, Alexandrova, Ivana
Mathematics · #35S30 #35S99 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35S30 #msc:35S99

paper · pdf · doi:10.48550/arxiv.math/0407460

18 pages

arxiv created 2004/07/27 · arxiv updated 2009/12/01

Abstract

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.

Related

• Discrete Wave-front sets of Fourier Lebesgue and modulation space types
• Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces
• The Gabor wave front set in spaces of ultradifferentiable functions
• A phase-space approach to weighted Fourier extension inequalities
• Wave-front sets of Banach function types