Courses and lecture notes
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- Open problems in Harmonic Analysis
- Math 224B: Methods of Mathematical Physics (Colliander)
- Harmonic analysis, wavelets, and applications (Daubechies/Gilbert)
- Lectures in Harmonic Analysis and Nonlinear Wave Equations (Foschi/Klainerman)
- M391C: Wavelets: Theory and Applications (Gilbert)
- Mathematical discussions (Gowers)
- Expositions on Kakeya and arithmetic progressions (Green)
- Restriction and Kakeya Phenomena (Green)
- Kakeya Lectures, and other Expository papers (Iosevich)
- Notes on Nonlinear Wave Equations (Klainerman)
- The Kakeya problem and connections to harmonic analysis (Laba)
- Tilings of R^n and the spectral set conjecture (Laba)
- Thomas Wolff’s Lectures on Harmonic Analysis (Laba/Wolff)
- 18.157: Introduction to microlocal analysis (Melrose)
- Math 254A: Oscillatory integrals, Diagonal entries of matrices, Scattering for Schrodinger with potential (Tao)
- Math 254B: Restriction theorems, Bochner-Riesz, Kakeya, etc. (Tao)
- Math 254A: Harmonic Analysis in the phase plane (Tao)
- Math 254A: Additive combinatorics (Tao)
- 262: Combinatorial Number Theory (Vu)
Further suggestions are welcome!
Other collections of analysis notes can be found at Modern Analysis Online.