Math 247AB: General Course Outline
Catalog Description 247A-247B. Classical Fourier Analysis. Lecture, three hours. Requisites: courses 245A, 245B, 246A. Distribution on Rn and Tn. 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.