Math 827: Fourier Analysis

Prerequisites:

Basic real analysis, consent of Instructor

Instructor:

Andreas Seeger

Time and Place:

MWF 9:55-10:45

textbooks:

Recommended lecture notes: Thomas Wolff ``Lectures on Harmonic Analysis''.
Edited by Izabella Laba and Carol Shubin.
American Mathematical Society, University Lecture Series, vol. 29.
You may also download files at:
http://www.math.ubc.ca/~ilaba/wolff/#files

Course Content:

This is an introductory graduate course into methods of Fourier analysis.
Topics include the basic theory of the Fourier transform, Fourier multipliers, function spaces, uncertainty principle, stationary phase method and oscillatory integrals, Fourier restriction theorems and related topics.
If time permits we may also discuss geometric problems which can be
approached using methods from Fourier analysis, for example the Falconer distance problem.