I'm interested in learning the Epstein-Glaser approach to renormalization, also called causal perturbation theory. The most authoritative pedagogical reference I have found so far is the book Finite QED by Scharf, which is recommended in this answer. However, this book doesn't actually seem to be all that rigorous. The author emphasizes the importance of treating fields and related objects as operator-valued distributions, but he then proceeds to treat these objects very casually and without regard for mathematical rigor: For example, he treats the distributions as if they are defined pointwise, and he manipulates them in formal power series without explaining whether the manipulations are justified. (Perhaps the book is more rigorous than I realize, and I'm just too dumb to understand the hidden justifications for some of the author's claims, but in that case, I would at least say the book isn't quite pedagogical enough!)
At any rate, I would like to know of some more resources for learning causal perturbation theory, especially those that are both mathematically rigorous and pedagogically oriented.
