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Differential operators of Fuchs type, conical singularities, and asymptotic methods

Matthias Lesch
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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.

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BibTeXRIS

Matthias Lesch. 1996-07-19. Differential operators of Fuchs type, conical singularities, and asymptotic methods. https://arxiv.org/abs/dg-ga/9607005

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