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arxiv: 1010.5872 · v1 · pith:EUJTBJEKnew · submitted 2010-10-28 · 🧮 math.OA

zeta-function and heat kernel formulae

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keywords heatzeta-affirmativeanswerasymptoticbehaviorbenameurcite
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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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