2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152152This text is a revised version of the authors Habilitationsschrift which was submitted to the University of Augsburg, 1993. Fuchs type differential operators are used to model the analysis on manifolds with cone--like singularities, or more general, stratified spaces. This book provides a self--contained treatment of the analysis of the heat equation and index theory for these operators. Major topics are short--time asymptotics, $η$-- and $ζ$--functions, (relative) index theorems. Another chapter is devoted to the discussion of deficiency indices and Dirac Schrödinger operators.LaTeX, 161 pages, also available from http://spectrum.mathematik.hu-berlin.de/~leschDifferential Geometry58G (Primary)text