Classical Fourier Analysis, sometimes with a modern perspective.

1. Double Fourier series of functions with simple singularities – a graphical case study. (OK, this is not a pdf file.)

2. Flat 2D tori with sparse spectra

3. Serendipitous Fourier inversion

4. The Schrodinger equation and Gauss sums

5. Multivariate Gauss sums

6. The Riemann zeta function and the prime number theorem

7. Fourier analysis and the FFT

8. Uniform convergence of Fourier series

9. Fourier series of elliptic functions on a torus

10. Riemann localization beyond L1 — a distributional approach

11. Karamata’s Tauberian Theorem

12. The Zak transform