Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beurling-Landau's density on compact manifolds   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.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga