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

1999/11/09 by Elmar Schrohe · 2 citations
Mathematics · #math.AP #math.FA #msc:58G20 #msc:46H35

paper · pdf

published as In: 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 · 26 pages

arxiv created 1999/11/09 · arxiv updated 2009/11/30

Abstract

For 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.

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