ζ-function and heat kernel formulae

2010/10/28 by F. A. Sukochev, Sukochev, F. A., D. V. Zanin +1
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1010.5872

accepted to Journal of Functional Analysis

arxiv created 2010/10/28 · arxiv updated 2010/10/29

Abstract

We present a systematic study of asymptotic behavior 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 \citeBF.

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