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Carleson Measures and Logvinenko-Sereda sets on compact manifolds

Abstract

Given a compact Riemannian manifold MM of dimension m2m\geq 2, we study the space of functions of L2(M)L^2(M) generated by eigenfunctions of eigenvalues less than L1L\geq 1 associated to the Laplace-Beltrami operator on MM. On these spaces we give a characterization of the Carleson measures and the Logvinenko-Sereda sets

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