Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary

Simple item page
dc.creatorSchrohe, Elmar
dc.date1999-11-09
dc.date.accessioned2026-07-07T05:31:30Z
dc.date.available2026-07-07T05:31:30Z
dc.descriptionFor manifolds with boundary, we define an extension of Wodzicki's noncommutative residue to boundary value problems in Boutet de Monvel's calculus. We show that this residue can be recovered with the help of heat kernel expansions and explore its relation to Dixmier's trace.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/9911053
dc.identifierhttp://arxiv.org/abs/math/9911053
dc.identifierIn: B. Booss-Bavnbek and K. Wojciechowski (eds), Geometric Aspects of Partial Differential Equations. Contemporary Mathematics, volume 242, Amer. Math. Soc. Providence, R.I., 1999, pp. 161 -- 186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79368
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subject58G20;46H35
dc.titleNoncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary
dc.typetext

Files

Collections

arXiv