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

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung

Autoren

  • Elmar Schrohe

Externe Organisationen

  • Universität Potsdam
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksGeometric aspects of partial differential equations
UntertitelProceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach
Seiten161-188
PublikationsstatusVeröffentlicht - 1999
Extern publiziertJa

Publikationsreihe

NameContemporary mathematics
Band242
ISSN (Print)0271-4132

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.

Zitieren

Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary. / Schrohe, Elmar.
Geometric aspects of partial differential equations: Proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach. 1999. S. 161-188 (Contemporary mathematics; Band 242).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung

Schrohe, E 1999, Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary. in Geometric aspects of partial differential equations: Proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach. Contemporary mathematics, Bd. 242, S. 161-188. <https://arxiv.org/abs/math/9911053v1>
Schrohe, E. (1999). Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary. In Geometric aspects of partial differential equations: Proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach (S. 161-188). (Contemporary mathematics; Band 242). https://arxiv.org/abs/math/9911053v1
Schrohe E. Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary. in Geometric aspects of partial differential equations: Proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach. 1999. S. 161-188. (Contemporary mathematics). Epub 1999 Nov 9.
Schrohe, Elmar. / Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary. Geometric aspects of partial differential equations: Proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach. 1999. S. 161-188 (Contemporary mathematics).
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