2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163589We establish the basics of the analysis of operators on coverings of manifolds with cylindrical ends with a group of deck transformations $Γ$. We prove the $Γ$-analogue of the Atiyah-Patodi-Singer formula for Dirac operators on such coverings.48 pages, 0 figures, english translation of author's diploma thesis of 1997Differential GeometrySpectral Theory58Gxxtext