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

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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.
26 pages

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Analysis of PDEs, Functional Analysis, 58G20;46H35

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http://salesiana.dossiersoluciones.com/handle/123456789/79368

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911053
 http://arxiv.org/abs/math/9911053
 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

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