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

Karlheinz Gröchenig; Eugenia Malinnikova

doi:10.4171/rmi/715

JournalsrmiVol. 29, No. 1pp. 115–134

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

Karlheinz Gröchenig
Universität Wien, Austria
Eugenia Malinnikova
Norwegian University of Science and Technology, Trondheim, Norway

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

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Abstract

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.

Cite this article

Karlheinz Gröchenig, Eugenia Malinnikova, Phase space localization of Riesz bases for $L^{2} (R^{d})$ . Rev. Mat. Iberoam. 29 (2013), no. 1, pp. 115–134

DOI 10.4171/RMI/715