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MATS5110 Topics in harmonic analysis:
pseudodifferential operators and microlocal analysis (2021)

Lecture notes,  (updated: 14/11/2021)


This course focuses on pseudodifferential operators and microlocal analysis,
including topics such as stationary phase lemma, symbolic calculus and computation of wavefront sets.

Some good references

For the pseudodifferential operators,

For the microlocal analysis,

Exercises

The exercises will be discussed in the exercise session three weeks after the corresponding lectures.
All the exercises must be returned to Leyter Potenciano, by email, in three weeks before the exercise session.

Passing the course

The course is graded as pass/fail without a numerical grade. Passing requires the following: