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, $\eta$-- and $\zeta$--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/~lesch

References in corpus (1)

• Eta-Invariants and Determinant Lines

Cited by in corpus (6)

• Regularized limit of determinants for discrete tori
• Regularizing infinite sums of zeta-determinants
• The twisted Selberg trace formula and the Selberg zeta function for compact orbifolds
• Harmonic forms on manifolds with edges
• P-spectrum and collapsing of connected sums, calculus of the limit
• Spectral Geometry and Asymptotically Conic Convergence