6 citations · 8 across the 3 of their papers we have counts for
6 papers
Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted maximal inequalities
I. Alvarez-Romero, B. Barrios, J. J. Betancor
In this paper we consider the heat semigroup defined by the combinatorial Laplacian and two subordinated families of on homogeneous trees . We ch…
A General Uncertainty Principle for Partial Differential Equations
I. Alvarez-Romero
We consider the coupled equations \begin{equation*} \begin{pmatrix}r_t\\ -q_t\end{pmatrix}+2A_0(L^+)\begin{pmatrix}r\\ q\end{pmatrix}=0, \end{equation*} where is the integro-…
Discrete Multichannel Scattering with step-like potential
Isaac Alvarez-Romero, Yurii Lyubarskii
We study direct and inverse scattering problem for systems of interacting particles, having web-like structure. Such systems consist of a finite number of semi-infinite chains atta…
Uncertainty principle for discrete Schrödinger evolution on graphs
Isaac Alvarez-Romero
We consider the Schrödinger evolution on graph, i.e. solution to the equation , here is the set of vertices of t…
On uniqueness properties of solutions of the Toda and Kac-van Moerbeke hierarchies
Isaac Alvarez-Romero, Gerald Teschl
We prove that a solution of the Toda lattice cannot decay too fast at two different times unless it is trivial. In fact, we establish this result for the entire Toda and Kac-van Mo…
A Dynamic Uncertainty Principle for Jacobi Operators
Isaac Alvarez-Romero, Gerald Teschl
We prove that a solution of the Schrödinger-type equation , where is a Jacobi operator with asymptotically constant coefficients, cannot decay too f…