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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…
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…
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…