TY - JOUR AU - Barceló, Juan Antonio AU - Folch Gabayet, Magali AU - Luque Martínez, Teresa Elvira AU - Pérez Esteva, Salvador AU - Vilela, María de la Cruz PY - 2020 DO - 10.1017/prm.2020.80 SN - 0308-2105 UR - https://hdl.handle.net/20.500.14352/99754 T2 - Proceedings of the Royal Society of Edinburgh Section A: Mathematics AB - The purpose of this paper is to characterize the entire solutions of the homogeneous Helmholtz equation (solutions in ℝd) arising from the Fourier extension operator of distributions in Sobolev spaces of the sphere with α ∈ ℝ. We present two... LA - eng M2 - 1768 PB - Cambridge University Press KW - Elliptic equations and systems KW - Harmonic analysis in several variables KW - Linear function spaces and their rules TI - The Fourier extension operator of distributions in Sobolev spaces of the sphere and the Helmholtz equation TY - journal article VL - 151 ER -