5 papers
Mean Value Inequalities and Characterizations of Sobolev spaces on graded groups
Pablo De Nápoli, Rocío Díaz Martín
We develop characterizations for Sobolev spaces of potential type on graded Lie groups, by means of Littlewood-Paley square functions, and Strichartz functionals involving second-o…
Error Analysis on the Initial State Reconstruction Problem
Rocío Díaz Martín, Ivan Medri, Juliana Osorio
In this paper we propose a method to estimate the initial state of a linear dynamical system with noisy observation. The method allows the user to have estimations in real time, th…
Dynamical Sampling: a view from control theory
Rocío Díaz Martín, Ivan Medri, Ursula Molter
In this contribution we establish a dictionary between terms in two different areas in order to show that many of the topics studied are common ones - just with a different termino…
On commutative homogeneous vector bundles attached to nilmanifolds
Rocío Díaz Martín, Linda Saal
The notion of Gelfand pair (G, K) can be generalized if we consider homogeneous vector bundles over G/K instead of the homogeneous space G/K and matrix-valued functions instead of…
Mehler-Heine formula: a generalization in the context of spherical functions
Rocío Díaz Martín, Inés Pacharoni
In this article, using the notion of group contraction, we obtain the spherical functions of the strong Gelfand pair as an appropriate limit of sph…