The asymptotics of the determinant function for a class of operators

Leonid Friedlander

doi:10.1090/S0002-9939-1989-0975642-0

The asymptotics of the determinant function for a class of operators

Leonid Friedlander

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Let A be an elliptic pseudodifferential operator on a closed manifold M and ord A > dim M. We derive the asymptotics of logdet(l +εA⁻l) when e → ∞. The constant term of this asymptotics equals − log det A.

Original language	English (US)
Pages (from-to)	169-178
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	107
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1989-0975642-0
State	Published - Sep 1989
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1989-0975642-0

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title = "The asymptotics of the determinant function for a class of operators",

abstract = "Let A be an elliptic pseudodifferential operator on a closed manifold M and ord A > dim M. We derive the asymptotics of logdet(l +εA−l) when e → ∞. The constant term of this asymptotics equals − log det A.",

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year = "1989",

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N2 - Let A be an elliptic pseudodifferential operator on a closed manifold M and ord A > dim M. We derive the asymptotics of logdet(l +εA−l) when e → ∞. The constant term of this asymptotics equals − log det A.

AB - Let A be an elliptic pseudodifferential operator on a closed manifold M and ord A > dim M. We derive the asymptotics of logdet(l +εA−l) when e → ∞. The constant term of this asymptotics equals − log det A.

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The asymptotics of the determinant function for a class of operators

Abstract

ASJC Scopus subject areas

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