This article generalizes recent results in the extra invariance for shift-invariant spaces to the context of LCA groups. Let G be a locally compact abelian (LCA) group and K a closed subgroup of G. A closed subspace of ...

We study the Hardy space of translated Dirichlet series H+. It consists on those Dirichlet series ∑ ann-s such that for some (equivalently, every) 1 ≤ p< ∞, the translation ∑ann-(s+1σ) belongs to the Hardy space Hp for ...

Tchakaloff’s theorem gives a quadrature formula for polynomials of a given degree with respect to a compactly supported positive measure which is absolutely continuous with respect to Lebesgue measure. We study the validity ...

We study the geometry of Lie groups G with a continuous Finsler metric, in presence of a subgroup K such that the metric is right-invariant for the action of K. We present a systematic study of the metric and geodesic ...

Atom interferometry provides extremely sensitive and accurate tools for the measurement of inertial forces. Op- eration of atom interferometers in microgravity is expected to enhance the performance of such sensors. This ...

Let X be a set. Let K(x, y) > 0 be a measure of the affinity between the data points x and y. We prove that K has the structure of a Newtonian potential K(x, y) = φ(d(x, y)) with φ decreasing and d a quasi-metric on X under ...