Complex powers of analytic functions and meromorphic renormalization in QFT

Nguyen Viet Dang

In this article, we study functional analytic properties of the meromorphic families of distributions $({\prod }_{i=1}^p(f_j+i0{)}^{{\lambda }_j}{)}_{({\lambda }_1,\dots ,{\lambda }_p)\in {\mathbb{C}}^p}$ using Hiro…