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Bulletin of the London Mathematical Society 2001 33(1):52-58; doi:10.1112/blms/33.1.52
© 2001 by London Mathematical Society
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© London Mathematical Society

Extremals of Some Uncertainty Inequalities

Carlo Morpurgo

Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via Bicocca degli Arcimboldi, 8, 20126 Milano, Italy; e-mail: morpurgo{at}matapp.unimib.it

Received 15 December 1999. Revision received 14 March 2000.

We characterize the extremal functions for Heisenberg type inequalities of the form

Formula
The method also yields an alternative and elementary derivation of the sharp constant in Nash's inequality, originally found by Carlen and Loss.


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