We study the zero sets of random analytic functions generated by a sum of the cardinal sine functions which form an orthonormal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian ...

Given an arbitrary finite set of data F = {f1, ..., fm} ⊂ L2(Rd) we prove the existence and show how to construct a “small shift invariant space” that is “closest” to the data F over certain class of closed subspaces of ...

We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic ...

La tesis se encuentra dividida en dos partes: • Parte I: Técnicas de espacios modelos en el estudio de desarrollos de Fourier en espacios L 2 asociados a medidas singulares • Parte II: Conjuntos de muestreo y de interpolación ...

This paper is devoted to some aspects of solving border problems for elliptic equations in non-convex plane angles. It is precisely the justification of the complex features method [2], [3], [5], [7] for non-convex angles. ...

We prove the existence of sampling sets and interpolation sets near the critical density, in Paley Wiener spaces of a locally compact abelian (LCA) group G. This solves a problem left by Gröchenig, Kutyniok, and Seip in ...

The class of global Gevrey functions was introduced recently by Z. Adwan, G. Hoepfner and A. Raich, the elements in these spaces are defined in terms of its derivatives with estimates that depend on sequences. It is know ...