CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCJM
Abstract view

Semi-Classical Wavefront Set and Fourier Integral Operators

  Published:2008-04-01
 Printed: Apr 2008
  • Ivana Alexandrova
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

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 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
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/