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arXiv · 1201.3661

Measurable operators and the asymptotics of heat kernels and zeta functions

Alan Carey·Fedor Sukochev
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Abstract

In this note we answer some questions inspired by the introduction, by Alain Connes, of the notion of measurable operators using Dixmier traces. These questions concern the relationship of measurability to the asymptotics of $ζ-$functions and heat kernels. The answers have remained elusive for some 15 years.

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Alan Carey, Fedor Sukochev. 2012-01-17. Measurable operators and the asymptotics of heat kernels and zeta functions. https://arxiv.org/abs/1201.3661

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