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 3-5 and Sections 7.1, 7.2, 7.3 and 7.5.

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)