MATH 404/541: Harmonic Analysis,
Fall term, 2019.
Instructor: Joshua Zahl.
Where and when : MWF 12:00-13:00, Math Annex 1118
My office: Math 117.
e-mail: jzahl@math.ubc.ca
Office hours: by appointment.
Text: There are no required textbooks. The following textbooks are recommended.
- Lectures on Harmonic Analysis by Tom Wolff. Available for free here.
- Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals By Eli Stein. Available free to current UBC
students here.
- An Introduction to Harmonic Analysis (3rd edition), by Yitzhak Katznelson. Available free to current UBC
students here.
Homework
Homework assignments will be posted here.
- Homework 0, Due Sept 9, 2019. [LaTeX source]
- Homework 1, Due Oct 18, 2019. [LaTeX source] [Solutions by Tongou Yang]
- Homework 2, Due Nov 8, 2019. [LaTeX source] [Solutions by Tongou Yang]
- Homework 3, Due Nov 29, 2019. [LaTeX source] [Solutions by Tongou Yang]
End of term presentation schedule
Nov 15: Misha & Min: Sobolev spacesNov 18: Caleb & Mukul: Fefferman's ball multiplier (counter) example
Nov 20: Junjie: Lp improving measures / Jens: characteristic functions, central limit-like theorems, and domains of attraction
Nov 22: Zach & Kyle : Pontryagin duality
Nov 25: Kay : Pointwise ergodic theorem / Ethan: The Kakeya problem
Nov 27: Gabriel: The restriction conjecture / Prajeet: Vinogradov main conjecture
Nov 29: Nicholas & Alireza: Fourier analysis on non-Abelian groups
Announcements
Class announcements will be posted here.