MATH 247AClassical Fourier Analysis
Mathematics · 4 units · Graduate courses (200-299)
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.
When it runs
- Winter 2026
- Fall 2026
Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.
Requisites
Official UCLA wording
Requisites: courses 245A, 245B, 246A.
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
No course in the catalog lists this as a requisite.