The objective of sampling in Euclidean spaces is to deal with the reconstruction of a
(bandlimited) function (or more generally by a function in an appropriate Hilbert space) by …

The blockade current that develops when a protein translocates across a thin membrane
through a sub-nanometer diameter pore informs with extreme sensitivity on the sequence of …

Consider the task of sampling and reconstructing a bandlimited spatial field in R 2 using
moving sensors that take measurements along their path. It is inexpensive to increase the …

We present a geometric framework for explicit derivation of multivariate sampling functions
(sinc) on multidimensional lattices. The approach leads to a generalization of the link …

Frame theory is nowadays a fundamental research area in mathematics, computer science,
and engineering with many exciting applications in a variety of different fields. Introduced in …

Abstract For a partition of [0, 1] into intervals I 1,…, I n we prove the existence of a partition of
Z into Λ 1,…, Λ n such that the complex exponential functions with frequencies in Λ k form a …

This article contains a tutorial on the interaction between sampling theory and tomography
as well as some new results. We explore how sampling theorems are used in tomography to …

We consider the inverse problem of determining the highly oscillatory coefficient $
a^\epsilon $ in partial differential equations of the form $-\nabla\cdot (a^\epsilon\nabla …

Computed tomography entails the reconstruction of a function from measurements of its line
integrals. In this article we explore the question: How many and which line integrals should …

arxiv:math/0601288v1 [math.FA] 12 Jan 2006 Page 1 arxiv:math/0601288v1 [math.FA] 12 Jan
2006 RIESZ BASIS OF EXPONENTIALS FOR A UNION OF CUBES IN Rd JORDI MARZO …