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

A student completing this course succesfully is expected to have learned the topics:
I. Basic Concepts of Harmonic Analysis,
II. Square Summable Functions on the Circle and Their Fourier series, Summable Functions and Their Fourier Series,
III. Fourier Integrals for the Space of Square Summable Functions, Fourier Integrals for the Space of Summable Functions,
IV. Several Dimensional Fourier Integrals,
V. Several Dimensional Fourier Series.