Localization of multidimensional Wigner distributions

Elliott H. Lieb*, Yaron Ostrover

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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.

Original languageEnglish
Article number102101
JournalJournal of Mathematical Physics
Issue number10
StatePublished - Oct 2010
Externally publishedYes


FundersFunder number
National Science FoundationDMS-0635607, PHY-0965859
Directorate for Mathematical and Physical Sciences0965859, 0635607


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