Reading List

The main recommended book is

1) R.S. Strichartz, A Guide to Distribution Theory and Fourier Transforms
(World Scientific, 1994. Reprinted: 2008, 2015)
In particular, Chapters 1, 2 and 6.

2) L.C. Evans, Partial Differential Equations (Amer. Math. Soc. 1998)
3) E.H. Lieb and M. Loss, Analysis (Amer. Math. Soc. 1997)
4) E.M. Stein and R. Shakarchi, Fourier analysis. An introduction (Princeton Univ. Press 2003)