Invariance of the cone algebra without asymptotics

verfasst von

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.

Externe Organisation(en)

Universität Potsdam

Typ

Artikel

Journal

Annals of Global Analysis and Geometry

Band

14

Seiten

403-425

Anzahl der Seiten

23

ISSN

0232-704X

Publikationsdatum

11.1996

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis, Politikwissenschaften und internationale Beziehungen, Geometrie und Topologie

Elektronische Version(en)

https://doi.org/10.1007/BF00129899 (Zugang: Geschlossen)