The noncommutative residue for manifolds with boundary

authored by

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.

External Organisation(s)

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

Type

Article

Journal

Journal of functional analysis

Volume

142

Pages

1-31

No. of pages

31

ISSN

0022-1236

Publication date

25.11.1996

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Analysis

Electronic version(s)

https://doi.org/10.1006/jfan.1996.0142 (Access: Embargoed)