  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 $L\geq
1$. This space behaves like a space of polynomials and we have an analogy with
the Paley-Wiener spaces. We study the interpolating and Marcienkiewicz-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.
