I'm trying to learn something about the distribution theory, but since I'm new to the subject I'd like to get some information about what I need to know to understand it in depth. As a Physics student, I have a good (at least, for what it's required for my studies) knowledge of real and complex analysis; however, having read a few pages of Duistermaat's book, Distributions: theory and applications, I feel that there's something else I should know and that is lacking. My impression seems to be confirmed by Michael Berg's review. I've read good opinions about Friedlander's Introduction to the theory of distributions, but it seems too dry to me and the lack of solutions for the exercises drives against its use for self-study.
At the moment I'm not able to borrow/buy any other book, so I have to choose one of those books, or both, as a reference, both for the theory and for the exercises and I need your help. Would you recommend Duistermaat's book for a first study? What about Friedlander's Introduction? What are the required prerequisites to grasp most of the subject?
I know a similar question has already been asked, but I'd like to focus just on a couple of books.
