PMATH 754Fourier Analysis
- Units
- 0.50
- Level
- Graduate
- Faculty
- Mathematics
- Subject
- Pure Mathematics
PMATH 754 as listed in the Spring 2026 Graduate Calendar. The main page has the current version, when it runs, and seats.
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.
Check it elsewhere for Spring 2026
- Graduate Calendar, Spring 2026The archived entry
- Requirements for Spring 2026Waterloo’s requisite checker
- Schedule of Classes, Spring 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 (shown here)
- Fall 2026
- Winter 2024 and earlier in the calendar archives