Add to ORKGAbstract. Given a compact Riemannian manifold M, we consider the subspace of L2(M) generated by the eigenfunctions of the Laplacian of eigenvalue less than L ≥ 1. This space behaves like a space of polyno-mials and we have an analogy with the Paley-Wiener spaces. We study the interpolating and Marcienkiewicz-Zygmund (M-Z) families and pro-vide necessary conditions for sampling and interpolation in terms of the Beurling-Landau densities. As an application, we prove the equidis-tribuition of the Fekete arrays on some compact manifolds
We prove the existence of sampling sets and interpolation sets near the critical density, in Paley W...
The estimation of the underlying probability density of n i.i.d. random objects on a compact Riemann...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...
Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigen...
AbstractGiven a compact Riemannian manifold M, we consider the subspace of L2(M) generated by the ei...
We study the equidistribution of Fekete points in a compact complex manifold. These are extremal poi...
Following Beurling’s ideas concerning sampling and interpolation in the Paley-Wiener space L1 ¿ , we...
[cat] En aquesta tesi, estudiem les famílies d'interpolació i sampling (mostreig) en espais de funci...
Abstract. Given a compact Riemannian manifold M of dimension m 2, we study the space of functions o...
AbstractWe derive necessary conditions for sampling and interpolation of bandlimited functions on a ...
Let M(n) = (M, g) be a compact, connected, Riemannian manifold of dimension n. Let mu be the measure...
Let $Q$ be a suitable real function on $C$. An $n$-Fekete set corresponding to $Q$ is a subset ${Z_{...
Abstract. We derive necessary conditions for sampling and interpolation of bandlimited functions on ...
Abstract: We will prove an analogue of Landau’s necessary conditions [Necessary density conditions f...
In this paper we prove Nikolskii's inequality (also known as the reverse Holder inequality) on gener...
We prove the existence of sampling sets and interpolation sets near the critical density, in Paley W...
The estimation of the underlying probability density of n i.i.d. random objects on a compact Riemann...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...
Given a compact Riemannian manifold $M$, we consider the subspace of $L^2(M)$ generated by the eigen...
AbstractGiven a compact Riemannian manifold M, we consider the subspace of L2(M) generated by the ei...
We study the equidistribution of Fekete points in a compact complex manifold. These are extremal poi...
Following Beurling’s ideas concerning sampling and interpolation in the Paley-Wiener space L1 ¿ , we...
[cat] En aquesta tesi, estudiem les famílies d'interpolació i sampling (mostreig) en espais de funci...
Abstract. Given a compact Riemannian manifold M of dimension m 2, we study the space of functions o...
AbstractWe derive necessary conditions for sampling and interpolation of bandlimited functions on a ...
Let M(n) = (M, g) be a compact, connected, Riemannian manifold of dimension n. Let mu be the measure...
Let $Q$ be a suitable real function on $C$. An $n$-Fekete set corresponding to $Q$ is a subset ${Z_{...
Abstract. We derive necessary conditions for sampling and interpolation of bandlimited functions on ...
Abstract: We will prove an analogue of Landau’s necessary conditions [Necessary density conditions f...
In this paper we prove Nikolskii's inequality (also known as the reverse Holder inequality) on gener...
We prove the existence of sampling sets and interpolation sets near the critical density, in Paley W...
The estimation of the underlying probability density of n i.i.d. random objects on a compact Riemann...
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions...