Operators of Fuchs type, conical singularitites, and asymptotic methods. (English) Zbl 1156.58302
Teubner-Texte zur Mathematik 136. Stuttgart: B. G. Teubner (ISBN 3-8154-2097-0/pbk). 190 p. (1997).
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.
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.
MSC:
| 58Jxx | Partial differential equations on manifolds; differential operators |
| 58-02 | Research exposition (monographs, survey articles) pertaining to global analysis |
| 35Jxx | Elliptic equations and elliptic systems |
