Non-commutative residue of projections in Boutet de Monvel's calculus

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Non-commutative residue of projections in Boutet de Monvel's calculus. / Gaarde, Anders.

2007.

Research output: Working paper › Research

Harvard

Gaarde, A 2007 'Non-commutative residue of projections in Boutet de Monvel's calculus'. <http://arxiv.org/abs/0709.3407>

APA

Gaarde, A. (2007). Non-commutative residue of projections in Boutet de Monvel's calculus. http://arxiv.org/abs/0709.3407

Vancouver

Gaarde A. Non-commutative residue of projections in Boutet de Monvel's calculus. 2007.

Author

Gaarde, Anders. / Non-commutative residue of projections in Boutet de Monvel's calculus. 2007.

Bibtex

@techreport{b8bac110e67211ddbf70000ea68e967b,
title = "Non-commutative residue of projections in Boutet de Monvel's calculus",
abstract = "Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the calculus. This partially answers a question raised in a recent collaboration with Grubb, namely whether the residue is zero on sectorial projections for boundary value problems: This is confirmed to be true when the sectorial projections is in the calculus.",
author = "Anders Gaarde",
note = "Keywords: math.AP; math.KT; 58J42, 58J32, 35S15",
year = "2007",
language = "English",
type = "WorkingPaper",

}

RIS

TY - UNPB

T1 - Non-commutative residue of projections in Boutet de Monvel's calculus

AU - Gaarde, Anders

N1 - Keywords: math.AP; math.KT; 58J42, 58J32, 35S15

PY - 2007

Y1 - 2007

N2 - Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the calculus. This partially answers a question raised in a recent collaboration with Grubb, namely whether the residue is zero on sectorial projections for boundary value problems: This is confirmed to be true when the sectorial projections is in the calculus.

AB - Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the calculus. This partially answers a question raised in a recent collaboration with Grubb, namely whether the residue is zero on sectorial projections for boundary value problems: This is confirmed to be true when the sectorial projections is in the calculus.

M3 - Working paper

BT - Non-commutative residue of projections in Boutet de Monvel's calculus

ER -

ID: 9835109