Courses and lecture notes

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  • Open problems in Harmonic Analysis
  • 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.

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