Resources for theory of distributions (generalized functions) for physicists

Question

I am looking for tutorials, articles or books containing theory of distributions in context of mathematical physics. Please suggest.

Related: http://mathoverflow.net/q/20314/13917 and http://math.stackexchange.com/q/13711/11127 Related: http://physics.stackexchange.com/q/125917/2451 — Qmechanic, Jul 20 '14 at 15:06
One of the appendices to Mukhanov's recent textbook on quantum effects in gravity gives a nice intro to the theory of distributions: I found it very enlightening — Danu, Jul 20 '14 at 16:08
a bit old but a good one by Garding and Lions is https://link.springer.com/article/10.1007/BF02724838 — Abdelmalek Abdesselam, Dec 14 '22 at 18:35

score 3 · Answer 1 · edited Dec 13 '22 at 21:51

I found following books useful:

A Guide to Distribution Theory and Fourier Transforms By Robert S. Strichartz. Not very rigorous and not much content either. But good book to start from.
Generalized Functions: Theory and Applications By Ram P. Kanwal. Not very rigorous. This book starts with chapter on Dirac delta function and then slowly builds the theory. There are many chapters on applications in Physics and Engineering.
Equations of Mathematical Physics by V. S. Vladimirov. Rigorous and Pedantic.

score 2 · Answer 2 · answered Oct 02 '15 at 07:58

2

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

answered Oct 02 '15 at 07:58

Valter Moretti

2 Answers2