Measurable operators and the asymptotics of heat kernels and zeta functions

Details Measurable operators and the asymptotics of heat kernels and zeta functions Measurable operators and the asymptotics of heat kernels and zeta functions

2012-01-17

arxiv.org/abs/1201.3661v1

Mathematics

Functional Analysis

Scientific paper

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
$\zeta-$functions and heat kernels. The answers have remained elusive for some
15 years.

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