Sharp quantitative L^p growth estimates are established for Helmholtz eigenfunctions on rank-one symmetric spaces, yielding nonexistence of nontrivial L^p solutions for |Im(λ)| ≤ (2/p - 1)ρ and refined uniqueness theorems.
Hulanicki, Subalgebra ofL 1(G) associated with Laplacian on a Lie group.Colloq
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On Rellich-type asymptotics for eigenfunctions on rank one symmetric spaces of noncompact type
Sharp quantitative L^p growth estimates are established for Helmholtz eigenfunctions on rank-one symmetric spaces, yielding nonexistence of nontrivial L^p solutions for |Im(λ)| ≤ (2/p - 1)ρ and refined uniqueness theorems.