ζ-function and heat kernel formulae

Fyodor Sukochev, Dmitriy Zanin

    Research output: Contribution to journalArticle

    15 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 languageEnglish
    Pages (from-to)2451-2482
    Number of pages32
    JournalJournal of Functional Analysis
    Volume260
    Issue number8
    DOIs
    Publication statusPublished - 15 Apr 2011

    Keywords

    • Dixmier trace
    • Heat kernel formulae
    • Noncommutative geometry
    • Zeta function

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