Functional differentiation and integration

[Matterwave]

Hi guys,

I'm trying to study the functional approach to quantization in QFT. The QFT books seem to often "sweep things under the rug" and not be too rigorous when it comes to issues like integral convergence, and the like. So I was wondering if there was a more mathematically rigorous introduction to this field of mathematics that would still be readable to a physicist like me (so it can't be super mathy...if you know what I mean... or if it's really mathy, at least it has to introduce all the necessary concepts that someone would need to understand the material).

Thanks.

 

[Xiuh]

I have a friend that always recommends this one
https://www.amazon.com/dp/0821847058/?tag=pfamazon01-20
I haven't really read it myself though (I know other books by Folland and they are superb)...