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Localization of multidimensional Wigner distributions
Elliott H. Lieb, Yaron Ostrover
Source abstract
A well known result of P. Flandrin states that a Gaussian uniquely maximizes the integral of the Wigner distribution over every centered disk in the phase plane. While there is no difficulty in generalizing this result to higher-dimensional polydisks, the generalization to balls is less obvious. In this note we provide such a generalization.
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