# name
Beurling-Landau's density on compact manifolds

# metadata.dc.description.abstract[].value
Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigenfunctions of the Laplacian of
eigenvalue less than $L\geq1$. This space behaves like a space of polynomials and we have an analogy with the Paley-Wiener spaces. We
study the interpolating and Marcinkiewicz-Zygmund (M-Z) families and provide necessary conditions for sampling and interpolation in terms
of the Beurling-Landau densities. As an application, we prove the equidistribution of the Fekete arrays on some compact manifolds.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Beurling-Landau's density on compact manifolds