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A note on fractional powers of the Hermite operator

Analysis of PDEs 2018-01-26 v1

Abstract

We give a very short proof of a result proved by Cappiello-Rodino-Toft on the Weyl symbol of the inverse of the Harmonic oscillator. We also extend their results to fractional powers.

Keywords

Cite

@article{arxiv.1801.08343,
  title  = {A note on fractional powers of the Hermite operator},
  author = {Sundaram Thangavelu},
  journal= {arXiv preprint arXiv:1801.08343},
  year   = {2018}
}

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7 pages