Geometry and Spectra of Closed Extensions of Elliptic Cone Operators
- 1 August 2007
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 59 (4), 742-794
- https://doi.org/10.4153/cjm-2007-033-7
Abstract
We study the geometry of the set of closed extensions of index 0 of an elliptic differential cone operator and its model operator in connection with the spectra of the extensions, and we give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.Keywords
Other Versions
This publication has 8 references indexed in Scilit:
- Resolvents of elliptic cone operatorsJournal of Functional Analysis, 2006
- The Resolvent of Closed Extensions of Cone Differential OperatorsCanadian Journal of Mathematics, 2005
- Adjoints of elliptic cone operatorsAmerican Journal of Mathematics, 2003
- On the resolvent of differential operators on conic manifoldsCommunications in Analysis and Geometry, 2002
- Heat kernel asymptotics on manifolds with conic singularitiesJournal d'Analyse Mathématique, 1999
- An Index Theorem for First Order Regular Singular OperatorsAmerican Journal of Mathematics, 1988
- Transformation of boundary problemsActa Mathematica, 1981
- Complex powers of an elliptic operatorProceedings of Symposia in Pure Mathematics, 1967