Phase Space Localization of Riesz bases for L^2(R^d)

Eugenia Malinnikova; Karlheinz Gr\"ochenig

arxiv: 1102.3097 · v1 · pith:SBRPMY5Lnew · submitted 2011-02-15 · 🧮 math.FA

Phase Space Localization of Riesz bases for L²(R^d)

Karlheinz Gr\"ochenig , Eugenia Malinnikova This is my paper

classification 🧮 math.FA

keywords baseslocalizationrieszbasisbourgainconstructedoptimalorthonormal

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We prove a strong uncertainty principle for Riesz bases in L^2(R^d) and show that the orthonormal basis constructed by Bourgain possesses the optimal phase-space localization.

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Phase Space Localization of Riesz bases for L²(R^d)

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