PMATH 754Fourier Analysis
- Units
- 0.50
- Level
- Graduate
- Faculty
- Mathematics
- Subject
- Pure Mathematics
When it runs
- F24
- W25
- S25
- F25
- W26
- S26
- F26
- W27
- S27
Ran in 1 of the last 7 terms. Winter 2027: scheduled, 1 lecture section. Spring 2027: schedule not out yet.
Fourier analysis on the circle: Fourier series; Hilbertian analysis; convolutions and summability kernels; pointwise, uniform and Lp convergence of Fourier series. Fourier analysis on the real line: test and Schwarz class functions, distributions and tempered distributions, Fourier transforms, inversion theorem, L1 and L2 analysis. Selected applications.
Prerequisites
None listed.
Antirequisites
- Not completed nor concurrently enrolled in:
Leads to
No course lists it as a requisite.
Winter 2027 sections
| Section | Class | Enrolled | Meets |
|---|---|---|---|
| LEC 001 | 6475 | 0 / 5 | MWF 16:30–17:20 |
Check it elsewhere for Fall 2026
- Graduate Calendar, Fall 2026The official entry
- Requirements for Fall 2026Waterloo’s requisite checker
- Schedule of Classes, Fall 2026Instructors, rooms, live seats
- Quest Class SearchWhere you enrol
- Course outlinesSyllabi from past terms (UW login)
- UW FlowStudent ratings and reviews
- WClassesPast sections back to 2004, and who taught them
Calendar versions
Graduate Calendar
- Spring 2025
- Fall 2025
- Winter 2026
- Spring 2026
- Fall 2026 (shown here)
- Winter 2024 and earlier in the calendar archives