Corpus ID: 125521434

Complex powers of abstract pseudodifferential operators

@article{Fahrenwaldt2018ComplexPO,
  title={Complex powers of abstract pseudodifferential operators},
  author={Matthias A. Fahrenwaldt},
  journal={Methods of Functional Analysis and Topology},
  year={2018},
  volume={24},
  pages={305-338}
}
  • Matthias A. Fahrenwaldt
  • Published 2018
  • Mathematics
  • Methods of Functional Analysis and Topology
  • 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. 

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