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

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

1999-11-09

arxiv.org/abs/math/9911053v1

In: B. Booss-Bavnbek and K. Wojciechowski (eds), Geometric Aspects of Partial Differential Equations. Contemporary Mathematics

Mathematics

Analysis of PDEs

26 pages

Scientific paper

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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