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Carleson Measures and Logvinenko-Sereda sets on compact manifolds

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Given a compact Riemannian manifold $M$ of dimension $m \geq 2$, we study the space of functions of $L^2(M)$generated by eigenfunctions of
eigenvalues less than $L \geq 1$ associated to the Laplace-Beltrami operator on $M$. On these spaces we give a characterization of the Carleson measures and the Logvinenko-Sereda sets.

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(c) Walter de Gruyter GmbH & Co. KG., 2013

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Carleson Measures and Logvinenko-Sereda sets on compact manifolds