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I am looking for tutorials, articles or books containing theory of distributions in context of mathematical physics. Please suggest.
This post imported from StackExchange Physics at 2015-10-02 08:00 (UTC), posted by SE-user user41451
In addition to the books already listed there is the nice (excellent in my opinion) textbook by Friedlander and Joshi, Introduction to the theory of Distributions
Googling for author and title, I found the following lecture notes from Princeton, https://web.math.princeton.edu/~seri/homepage/courses/Analysis2008.pdf, "Lecture Notes 2008" by Sergiu Klainerman, because it cites Friedlander and Joshi on its first page. As well as the Klainerman having what looks a worthwhile 25 pages on distributions, it also suggests "Hormander's first volume of The Analysis of Linear Partial Differential Operators, , in Springer can also be useful."
In my view, Hoermander's first volume of The Analysis of Linear Partial Differential Operators is useful for a bit advanced readers. Sometimes there are statements which are obvious just to Hoermander himself...(Especially in the section regarding microlocal analysis). I use those books, but I would not suggest them as intial references.
I found following books useful:
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