Good books on theory of distributions

Grubb's recent Distributions And Operators is supposed to be quite good.

There's also the recommended reference work, Strichartz, R. (1994), A Guide to Distribution Theory and Fourier Transforms

The comprehensive treatise on the subject-although quite old now-is Gel'fand, I.M.; Shilov, G.E. (1966–1968), Generalized functions, 1–5,.

A very good,though quite advanced,source that's now available in Dover is Trèves, François (1967), Topological Vector Spaces, Distributions and Kernels That book is one of the classic texts on functional analysis and if you're an analyst or aspire to be,there's no reason not to have it now. But as I said,it's quite challenging.

That should be enough to get you started.And of course,if you read French,you really should go back and read Schwartz's original treatise.

One big book on distributions is the first volume of Hormander's The Analysis of Linear Partial Differential Operators. This may not be the easiest book to read, but it is comprehensive and a definitive reference.

Friedlander and Joshi's Introduction to the Theory of Distributions is short, elegant and efficient.