Here is the
official
site from the department.
Time and place: Monday 12 in MS.03, Thursday 121 in B3.03, and Friday 1011 in B3.02.
Support classes Friday 121 in P5.21 by
Dom Kerr.
Assessment: 3hour examination.
Description:
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.
Assignments:
Handwritten notes:
Notes, pages 18

Notes, pages 916

Notes, pages 1724

Notes, pages 2532

Notes, pages 3340

Notes, pages 4148

Notes, pages 4956

Notes, pages 5764

Notes, pages 6572

Notes, pages 7380

Notes, pages 8187

References:

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, SelfAdjointness (Methods of Modern Mathematical Physics II), Elsevier, 1975.

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