User guide

• Conceptual background of higher-order Fourier analysis
  • The case of classical Fourier analysis
  • Generalizing to higher-order structure
  • What you can do with the HoFa package
• Tutorial - Denoising
  • Denoising and regularization: rgz and cdf modules
• Tutorial - Higher-order characters
  • Higher-order character decomposition: char module
• 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