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arxiv: 1801.08343 · v1 · pith:EUYG6U3Unew · submitted 2018-01-25 · 🧮 math.AP

A note on fractional powers of the Hermite operator

classification 🧮 math.AP
keywords fractionalpowerscappiello-rodino-toftextendgiveharmonichermiteinverse
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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.

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