18.157: Introduction to Microlocal Analysis

Instructor:

Richard Melrose
MIT, Department of Mathematics
Room 2-174
Email: rbm at math.mit.edu

Time and Place:

Tuesday and Thursday, 1-2:30pm.
Room 2-136

Outline of the Course

Here are my on-going brief lecture notes: Lects-2009 Last updated 22 Sept, 2009.

Changelog (15 Dec, 2007)
Front
Chapter1 Tempered distributions and the Fourier transform
Chapter2 Pseudodifferential operators on Euclidean space
Chapter3 Residual, or Schwartz, algebra
Chapter4 Isotropic calculus
Chapter5 Microlocalization
Chapter6 Pseudodifferential operators on manifolds
Chapter7 Scattering calculus
Chapter8 Elliptic boundary problems
Chapter9 The wave kernel
Chapter10 K-theory
Chapter11 Hochschild homology
Chapter12 (The index formula)

Material covered and projected