Differential operators of Fuchs type, conical singularities, and asymptotic methods
Abstract
This 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.