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

18 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

Access to Document

10.1016/j.jfa.2010.10.007

Cite this

@article{26ca3051bfd54449aa353e5fc54188c2,

title = "ζ-function and heat kernel formulae",

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].",

keywords = "Dixmier trace, Heat kernel formulae, Noncommutative geometry, Zeta function",

author = "Fyodor Sukochev and Dmitriy Zanin",

year = "2011",

month = apr,

day = "15",

doi = "10.1016/j.jfa.2010.10.007",

language = "English",

volume = "260",

pages = "2451--2482",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Elsevier",

number = "8",

}

TY - JOUR

T1 - ζ-function and heat kernel formulae

AU - Sukochev, Fyodor

AU - Zanin, Dmitriy

PY - 2011/4/15

Y1 - 2011/4/15

N2 - 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].

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

UR - http://www.scopus.com/inward/record.url?scp=79551481881&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2010.10.007

DO - 10.1016/j.jfa.2010.10.007

M3 - Article

VL - 260

SP - 2451

EP - 2482

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 8

ER -

ζ-function and heat kernel formulae

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this