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 ${\mathbb{R}}^d$) arising from the Fourier extension operato…