Invariance of the cone algebra without asymptotics
- authored by
- Elmar Schrohe
- Abstract
Let B be a manifold with conical singularities, and denote by the smooth bounded manifold with cylindrical ends obtained by blowing up near the singularities. B.-W. Schulze has developed a framework for a pseudodifferential calculus on B by defining various classes of distribution spaces and operator algebras, working in fixed coordinates on the manifold. I am showing here that the Mellin Sobolev spaces without asymptotics, the cone algebra without asymptotics, and its ideal of smoothing operators are independent of the choice of coordinates and therefore may be considered intrinsic objects for manifolds with conical singularities.
- External Organisation(s)
-
University of Potsdam
- Type
- Article
- Journal
- Annals of Global Analysis and Geometry
- Volume
- 14
- Pages
- 403-425
- No. of pages
- 23
- ISSN
- 0232-704X
- Publication date
- 11.1996
- Publication status
- Published
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Analysis, Political Science and International Relations, Geometry and Topology
- Electronic version(s)
-
https://doi.org/10.1007/BF00129899 (Access:
Closed)
