Abstract
The basis is laid for a block renormalization analysis of spinor electrodynamics in d=2,3 dimensions in a lattice approximation. The Fermion part of the renormalization group transformation gives rise to a sequence of localized Fermion action, fluctuation covariance, and minimizer operators in a regular external gauge field. It is shown that these operators are uniformly bounded analytic functions of complex‐valued gauge fields with uniform exponentially decaying kernels.