Asymptotic expansions and conformal covariance of the mass of conformal differential operators

@article{Ludewig2017AsymptoticEA,
  title={Asymptotic expansions and conformal covariance of the mass of conformal differential operators},
  author={M. Ludewig},
  journal={Annals of Global Analysis and Geometry},
  year={2017},
  volume={52},
  pages={237-268}
}
  • M. Ludewig
  • Published 2017
  • Mathematics
  • Annals of Global Analysis and Geometry
  • We give an explicit description of the full asymptotic expansion of the Schwartz kernel of the complex powers of m-Laplace type operators L on compact Riemannian manifolds in terms of Riesz distributions. The constant term in this asymptotic expansion turns out to be given by the local zeta function of L. In particular, the constant term in the asymptotic expansion of the Green’s function $$L^{-1}$$L-1 is often called the mass of L, which (in case that L is the Yamabe operator) is an important… CONTINUE READING
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