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Mehler’s formula and functional calculus

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Abstract

We show that Mehler’s formula can be used to handle several formulas involving the quantization of singular Hamiltonians. In particular, we diagonalize in the Hermite basis the Weyl quantization of the characteristic function of several domains of the phase space.

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Authors and Affiliations

  1. Department of Mathematics, Sorbonne Université, Paris, 75252, France

    Nicolas Lerner

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  1. Nicolas Lerner
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Correspondence to Nicolas Lerner.

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Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday

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Lerner, N. Mehler’s formula and functional calculus. Sci. China Math. 62, 1143–1166 (2019). https://doi.org/10.1007/s11425-018-9496-6

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  • DOI: https://doi.org/10.1007/s11425-018-9496-6

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