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- W4301434626 abstract "Let $b_d$ be the Weyl symbol of the inverse to the harmonic oscillator on $R^d$. We prove that $b_d$ and its derivatives satisfy convenient bounds of Gevrey and Gelfand-Shilov type, and obtain explicit expressions for $b_d$. In the even-dimensional case we characterize $b_d$ in terms of elementary functions. In the analysis we use properties of radial symmetry and a combination of different techniques involving classical a priori estimates, commutator identities, power series and asymptotic expansions." @default.
- W4301434626 created "2022-10-05" @default.
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- W4301434626 date "2013-06-28" @default.
- W4301434626 modified "2023-10-16" @default.
- W4301434626 title "On the inverse to the harmonic oscillator" @default.
- W4301434626 doi "https://doi.org/10.48550/arxiv.1306.6866" @default.
- W4301434626 hasPublicationYear "2013" @default.
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