MAT 619E - Harmonic Analysis I

Course Objectives

1. To teach the basic topics of Harmonic Analysis,
2. To form the necessary background for the graduate students who wish to do research on Harmonic Analysis.

Course Description

Square summable functions on the circle and their Fourier series, Summable functions and their Fourier
series, Several dimensional Fourier series.
Fourier integrals for the space of square summable functions, Fourier integrals for the space of summable functions, Miscellaneous applications, Several dimensional Fourier integrals, Miscellaneous applications of several-dimensional Fourier integrals.