Uncertainty principles for orthonormal bases - Archive ouverte HAL
Communication Dans Un Congrès Année : 2006

Uncertainty principles for orthonormal bases

Résumé

In this survey, we present various forms of the uncertainty principle (Hardy, Heisenberg, Benedicks). We further give a new interpretation of the uncertainty principles as a statement about the time-frequency localization of elements of an orthonormal basis, which improves previous unpublished results of H. Shapiro. Finally, we show that Benedicks' result implies that solutions of the Shrödinger equation have some (appearently unnoticed) energy dissipation property.
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Dates et versions

hal-00080458 , version 1 (16-06-2006)

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Citer

Philippe Jaming. Uncertainty principles for orthonormal bases. Seminaire d'equations aux derivees partielles, 2006, Palayseau, France. expose XV, 21 fevrier 2006. ⟨hal-00080458⟩
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