PageHeader : Funkcialaj Ekvacioj, 29 (1986), 259-279 Title : Stokes and Gevrey Phenomena in Relation to Index Theorems Title : in the Theory of Meromorphic Linear Difference Equations AuthorInfo : By AuthorInfo : C. PRAAGMAN $*$ ) AuthorInfo : (Eindhoven University of Technology, The Netherlands) section : Introduction section : 1. Solvability of equations in a subspace section : 2. Differential operators of inffiite order section : 3. Linear difference operators section : 4. Examples; Three elementary operators section : 5. Stokes directions section : 6. Cohomology section : 7. The main theorem section : References