Classical Fourier Analysis

4 units · Graduate courses (200-299)

Lecture, three hours. Requisites: courses 245A, 245B, 246A. Distribution on R n and T n . Principal values; other examples. Distributions with submanifolds as supports. Kernel theorem. Convolution; examples of singular integrals. Tempered distributions and Fourier transform theory on Rn. Distributions with compact or one-sided supports and their complex Fourier transforms.