ζ-function and heat kernel formulae

Fyodor Sukochev; Dmitriy Zanin

doi:10.1016/j.jfa.2010.10.007

ζ-function and heat kernel formulae

Fyodor Sukochev, Dmitriy Zanin

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

19 Citations (Scopus)

Abstract

We present a systematic study of asymptotic behaviour of (generalised) ζ-functions and heat kernels used in noncommutative geometry and clarify their connections with Dixmier traces. We strengthen and complete a number of results from the recent literature and answer (in the affirmative) the question raised by M. Benameur and T. Fack (2006) [1].

Original language	English
Pages (from-to)	2451-2482
Number of pages	32
Journal	Journal of Functional Analysis
Volume	260
Issue number	8
DOIs	https://doi.org/10.1016/j.jfa.2010.10.007
Publication status	Published - 15 Apr 2011

Keywords

Dixmier trace
Heat kernel formulae
Noncommutative geometry
Zeta function

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10.1016/j.jfa.2010.10.007

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abstract = "We present a systematic study of asymptotic behaviour of (generalised) ζ-functions and heat kernels used in noncommutative geometry and clarify their connections with Dixmier traces. We strengthen and complete a number of results from the recent literature and answer (in the affirmative) the question raised by M. Benameur and T. Fack (2006) [1].",

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AU - Zanin, Dmitriy

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AB - We present a systematic study of asymptotic behaviour of (generalised) ζ-functions and heat kernels used in noncommutative geometry and clarify their connections with Dixmier traces. We strengthen and complete a number of results from the recent literature and answer (in the affirmative) the question raised by M. Benameur and T. Fack (2006) [1].

KW - Dixmier trace

KW - Heat kernel formulae

KW - Noncommutative geometry

KW - Zeta function

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DO - 10.1016/j.jfa.2010.10.007

M3 - Article

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EP - 2482

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

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ER -

ζ-function and heat kernel formulae

Abstract

Keywords

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