Part 4 of a series on the Fourier transform: from a PDE to a computational problem — operators, symbols, stiffness — and a toy wavelet diffusion neural operator that samples whole Burgers trajectories.

Part 3 of a series on the Fourier transform: the time-frequency tradeoff, multiresolution analysis, and training a minimal wavelet neural operator on Burgers' equation in JAX.

Part 2 of a series on the Fourier transform: the discrete transform as a matrix, the Cooley–Tukey trick, aliasing, spectrograms of actual music, and spectral methods for PDEs.

Part 1 of a series on the Fourier transform: where it came from, square waves as a sum smooth sinusoidal waves, and Epicycles.