"This is a concise and rigorous introduction to Fourier series. It is a small tract, in the style of these Cambridge books, with a hundred fully proved theorems on Trig. series. In my opinion, it is a beautiful exposition.
You need to be conversant with the theory of Lesbegue integration to make it through.
The standard treatise in this subject are those of Zygmund and Bary and this tract is a very portable introduction to these.
It has to be added, though that this is not a necessary pre-requisite to Zygmund. The latter starts more or less from "scratch"."
"To me, it were very hard to read the book because when I followed the proofs I needed to compute several intermediate steps what I don't enjoy.
Also the book has proper symbols and its list of symbols is very incomplete." |