Localization of multidimensional Wigner distributions

Elliott H. Lieb, Yaron Ostrover

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 (US)
Article number102101
JournalJournal of Mathematical Physics
Issue number10
StatePublished - Oct 2010

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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