The spectral function of an elliptic operator

@article{Hrmander1968TheSF,
  title={The spectral function of an elliptic operator},
  author={Lars H{\"o}rmander},
  journal={Acta Mathematica},
  year={1968},
  volume={121},
  pages={193-218}
}
  • L. Hörmander
  • Published 1 December 1968
  • Mathematics
  • Acta Mathematica
In this paper we shall obtain the best possible estimates for the remainder term in the asymptotic formula for the spectral function of an arbitrary elliptic (pseudo-)differential operator. This is achieved by means of a complete description of the singularities of the Fourier transform of the spectral function for low frequencies. 
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