The noncommutative residue for manifolds with boundary

verfasst von

Boris V. Fedosov, François Golse, Eric Leichtnam, Elmar Schrohe

Abstract

We construct a trace on the algebra of classical elements in Boutet de Monvel's calculus on a compact manifold with boundary of dimension n > 2. This trace coincides with Wodzicki's noncommutative residue if the boundary is reduced to the empty set. Moreover, we show that it is the unique continuous trace on this algebra up to multiplication by a constant.

Externe Organisation(en)

Moscow Institute of Physics and Technology
École normale supérieure (Paris)
Universität Potsdam

Typ

Artikel

Journal

Journal of functional analysis

Band

142

Seiten

1-31

Anzahl der Seiten

31

ISSN

0022-1236

Publikationsdatum

25.11.1996

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis

Elektronische Version(en)

https://doi.org/10.1006/jfan.1996.0142 (Zugang: Befristet gesperrt)