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PMATH 833Harmonic Analysis

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Pure Mathematics

When it runs

  1. F24
  2. W25
  3. S25
  4. F25
  5. W26
  6. S26
  7. F26
  8. W27
  9. S27

Ran in 1 of the last 7 terms. Winter 2027: not on the schedule. Spring 2027: schedule not out yet.

Basic topics in Fourier analysis on locally compact groups, in particular abelian groups: Haar measure, convolution, characters, the dual group, Fourier transform, Parseval's theorem, Plancherel theorem, Pontryagin duality theorem, inversion theorem, Bochener's theorem. Other topics such as harmonic analysis on compact or non-albian locally compact groups, Peter-Weyl theorem, amenability, probabilistic methods in harmonic analysis.

Prerequisites

None listed.

Antirequisites

  • Not completed nor concurrently enrolled in:

Leads to

No course lists it as a requisite.

Discussed on r/uwaterloo

4 posts and comments in 4 threads mention PMATH 833, November 2021 to December 2024. Quoted word for word, newest first; each reply sits under the post and the comment that started its branch. Search r/uwaterloo for newer posts.

Spring 2023

Winter 2022

Does anyone actually enjoy their courses? 114 points, 45 comments

“Honestly for as long as I remember, when I think of taking courses, listening to lectures, completing projects, and doing assignments/assessments, I only feel dread. …”

u/blank_anonymous: “I love my courses so much! I get excited when assignments release because the questions are interesting and fun, I love watching lectures, I love asking questions and going to office hours. …”

u/blank_anonymous: “I'm taking PMath 833 and 950 this term! I'm planning on taking as many grad courses as possible before I graduate.”

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Fall 2021

Bird courses 10 points, 20 comments

“What are the birdiest bird courses you’d recommend? Any department I don’t care. I need something that’ll be a breeze next semester and bonus points if it’s online”

u/dotuanhiep: “Pmath 833. Bird af and it's online too.”

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Check it elsewhere for Fall 2026

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 37 terms, Fall 2006 to Winter 2024