# microlocal analysis

In mathematical analysis, microlocal analysis is a term use to describe techniques developed from the 1950s onwards based on Fourier transforms^{} related to the study of variable-coefficients-linear and nonlinear partial differential equations. This includes generalized functions, pseudo-differential operators, wave front sets, Fourier integral operators, and paradifferential operators.

The term microlocal implies localisation not just at a point, but in terms of cotangent space directions at a given point. This gains in importance on manifolds of dimension^{} greater than one.

This entry was adapted from the Wikipedia article http://en.wikipedia.org/wiki/Microlocal_analysisMicrolocal analysis as of January 17, 2007.

Title | microlocal analysis |
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Canonical name | MicrolocalAnalysis |

Date of creation | 2013-03-22 16:35:25 |

Last modified on | 2013-03-22 16:35:25 |

Owner | PrimeFan (13766) |

Last modified by | PrimeFan (13766) |

Numerical id | 4 |

Author | PrimeFan (13766) |

Entry type | Definition |

Classification | msc 42A38 |