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Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\) - MaRDI portal

Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\) (Q1941170)

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Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\)
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    Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\) (English)
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    11 March 2013
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    Summary: We prove a strong uncertainty principle for Riesz bases in \(L^2(\mathbb{R}^d)\) and show that the orthonormal basis constructed by Bourgain possesses the optimal phase space localization.
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    uncertainty principle
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    Balian-Low theorem
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    Riesz basis
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    localized frame
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