$ζ-$function and heat kernel formulae

Details $ζ-$function and heat kernel formulae $ζ-$function and heat kernel formulae

2010-10-28

arxiv.org/abs/1010.5872v1

Mathematics

Operator Algebras

accepted to Journal of Functional Analysis

Scientific paper

We present a systematic study of asymptotic behavior of (generalised)
$\zeta-$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 \cite{BF}.

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