I am looking for tutorials, articles or books containing theory of distributions in context of mathematical physics. Please suggest.
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$\begingroup$ Related: mathoverflow.net/q/20314/13917 and math.stackexchange.com/q/13711/11127 Related: physics.stackexchange.com/q/125917/2451 $\endgroup$ – Qmechanic♦ Jul 20 '14 at 15:06
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$\begingroup$ 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 $\endgroup$ – Danu Jul 20 '14 at 16:08
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$\begingroup$ @Danu I found it informative. $\endgroup$ – user41451 Jul 24 '14 at 14:35
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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.
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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
