EN
Let L(z) be the Lie norm on $\tilde{𝔼} = ℂ^{n+1}$ and L*(z) the dual Lie norm. We denote by $𝓞_Δ(\tilde{B}(R))$ the space of complex harmonic functions on the open Lie ball $\tilde{B}(R)$ and by $Exp_Δ(\tilde{𝔼}; (A,L*))$ the space of entire harmonic functions of exponential type (A,L*). A continuous linear functional on these spaces will be called a harmonic functional or an entire harmonic functional. We shall study the conical Fourier-Borel transformations on the spaces of harmonic functionals or entire harmonic functionals.