Complex powers of abstract pseudodifferential operators

Matthias Albrecht Fahrenwaldt

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Abstract

Under suitable assumptions, we show that the abstract pseudodifferential operators introduced by Connes and Moscovici possess complex powers that belong to this class of operators. We analyse several spectral functions obtained via the (super)trace including the zeta function and the heat trace. We present examples showing that the analysis is explicit and tractable.
Original languageEnglish
Pages (from-to)305-338
Number of pages34
JournalMethods of Functional Analysis and Topology
Volume24
Issue number4
Publication statusPublished - 2018

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