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EXTREMALS OF SOME UNCERTAINTY INEQUALITIES

Published online by Cambridge University Press:  18 April 2001

CARLO MORPURGO
CARLO MORPURGO
Affiliation:
Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano, Bicocca, Via Bicocca degli Arcimboldi, 8, 20126 Milano, Italy; e-mail: [email protected]
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Abstract

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

(formula here)

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

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 1 , January 2001 , pp. 52 - 58
Copyright
© The London Mathematical Society 2001

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