Non-commutative residue of projections in Boutet de Monvel's calculus

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dc.creatorGaarde, Anders
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:31:29Z
dc.date.available2026-07-07T08:31:29Z
dc.descriptionUsing results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the calculus. This partially answers a question raised in a recent collaboration with Grubb, namely whether the residue is zero on sectorial projections for boundary value problems: This is confirmed to be true when the sectorial projections is in the calculus.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0709.3407
dc.identifierhttp://arxiv.org/abs/0709.3407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138514
dc.subjectAnalysis of PDEs
dc.subjectK-Theory and Homology
dc.subject58J42, 58J32, 35S15
dc.titleNon-commutative residue of projections in Boutet de Monvel's calculus
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