Here is the official site from the department.

Time and place: Monday 1-2 in MS.03, Thursday 12-1 in B3.03, and Friday 10-11 in B3.02. Support classes Friday 12-1 in P5.21 by Dom Kerr.

Assessment: 3-hour examination.

Fourier series and Fourier transform have numerous applications in PDEs, functional analysis, probability theory, and even number theory! We will study their definitions and properties, and consider specific applications.

I occasionally put comments on my facebook page; but anything of importance can also be found here.

Assignment 1
Assignment 2
Assignment 3
Assignment 4
Assignment 5
Assignment 6
Assignment 7
Assignment 8

Handwritten notes:
Notes, pages 1-8
Notes, pages 9-16
Notes, pages 17-24
Notes, pages 25-32
Notes, pages 33-40
Notes, pages 41-48
Notes, pages 49-56
Notes, pages 57-64
Notes, pages 65-72
Notes, pages 73-80
Notes, pages 81-87


  • J. Duoandikoetxea, Fourier Analysis, AMS, 2001.

  • G.B. Folland, Real Analysis, Wiley, 1999.

  • G. Frieseke, Lectures on Fourier Analysis, 2007.

  • J.K. Hunter and B. Nachtergaele, Applied Analysis, World Scientific, 2001. (This book is available online.)

  • E.H. Lieb and M. Loss, Analysis, AMS, 2001.

  • M. Reed and B. Simon, Fourier Analysis, Self-Adjointness (Methods of Modern Mathematical Physics II), Elsevier, 1975.

  • E.M. Stein and R. Shakarchi, Fourier Analysis, Princeton, 2003.