  We show that the resolvent of the Laplacian on SL(3,$\mathbb{R}$)/SO(3) can
be lifted to a meromorphic function on a Riemann surface which is a branched
covering of $\mathbb{C}$. The poles of this function are called the resonances
of the Laplacian. We determine all resonances and show that the corresponding
residue operators are given by convolution with spherical functions
parameterized by the resonances. The ranges of these operators are infinite
dimensional irreducible SL(3,$\mathbb{R}$)-representations. We determine their
Langlands parameters and wave front sets. Also, we show that precisely one of
these representations is unitarizable. Alternatively, they are given by the
differential equations which determine the image of the Poisson transform
associated with the resonance.
