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arXiv · 1403.4474

Radial symmetric elements and the Bargmann transform

Marco Cappiello·Luigi Rodino·Joachim Toft
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Abstract

We prove that a function or distribution on $\rr d$ is radial symmetric, if and only if its Bargmann transform is a composition by an entire function on $\mathbf C$ and the canonical quadratic function from $\cc d$ to $\mathbf C$.

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Marco Cappiello, Luigi Rodino, Joachim Toft. 2014-03-18. Radial symmetric elements and the Bargmann transform. https://arxiv.org/abs/1403.4474

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