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 |
|---|---|
| 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 |