4 citations · 6 across the 5 of their papers we have counts for
6 papers
The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation
J. A. Barceló, M. Folch-Gabayet, T. Luque +2
The purpose of this paper is to characterize all the entire solutions of the homogeneous Helmholtz equation (solutions in ) arising from the Fourier extension operato…
Perturbations of the Landau Hamiltonian: Asymptotics of eigenvalue clusters
G. Hernandez-Duenas, S. Pérez-Esteva, A. Uribe +1
We consider the asymptotic behavior of the spectrum of the Landau Hamiltonian plus a rapidly decaying potential, as the magnetic field strength, , tends to infinity. After a sui…
An uncertainty principle for solutions of the Schr{ö}dinger equation on H-type groups
Aingeru Fernández-Bertolin, Philippe Jaming, Salvador Pérez-Esteva
In this paper we consider uncertainty principles for solutions of certain PDEs on H-type groups. We first prove that, contrary to the euclidean setting, the heat kernel on H-type g…
Szegö Limit Theorems for Singular Berezin-Toeplitz Operators
Salvador Pérez-Esteva, Alejandro Uribe
We consider Berezin-Toeplitz operators whose multipliers are compactly supported densities carried by a submanifold of . We compute asymptotically the moments of th…
The phase retrieval problem for solutions of the Helmholtz equation
Philippe Jaming, Salvador Pérez-Esteva
In this paper we consider the phase retrieval problem for Herglotz functions, that is, solutions of the Helmholtz equation on domains , .…
Distributions that are convolvable with generalized Poisson kernel of solvable extensions of homogeneous Lie groups
Ewa Damek, Jacek Dziubanski, Philippe Jaming +1
In this paper, we characterize the class of distributions on an homogeneous Lie group $\fN$ that can be extended via Poisson integration to a solvable one-dimensional extension $\f…