PageHeader : Funkcialaj Ekvacioj, 31 (1988) 197-219 Title : Resurgent Functions and Connection Matrices for a Linear Title : Homogeneous System of Difference Equations AuthorInfo : By AuthorInfo : G. K. IMMINK AuthorInfo : (Universiteit Twente, The Netherlands) section : 0. Introduction section : 1. Formal solutions, Borel transforms and resurgent functions section : Lemma 1. $H_{l_{1},,l_{n}}\ldots\in x^{\tau(l_{1},l_{n})}\cdots,C[[x^{-1}]]$ section : 2. Some properties of the functions $\eta_{l_{1},\ldots,l_{n}}$ section : 3. Properties of $\zeta$ section : 4. Analytic solutions and connection matrices for (0.1) and (1.1) section : References