User guide (Checked: D)

• Conceptual background of higher-order Fourier analysis
  • The case of classical Fourier analysis
  • Generalizing to higher-order structure
  • What the HoFa package can do
• Tutorial - Denoising (Checked: D)
  • Denoising and regularization: rgz and cdf modules (Checked: D)
• Tutorial - Higher order characters (Checked: D)
  • Higher-order character decomposition: char module (Checked: D)
• Theoretical foundations and extensions
  • Origins - from arithmetic progressions to higher-order structure
  • An overview of theoretical developments since Gowers’ work
  • Algorithmic approaches to higher-order Fourier analysis
  • Final remarks
  • Bibliography