Abstract
Let Δ be a thick affine building of type\(\tilde A_2 \) and of order q. We prove that each eigenfunction of the Laplace operators of Δ is the Poisson transform of a suitable finitely additive measure on the maximal boundary Ω.
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Mantero, A.M., Zappa, A. Eigenfunctions of the Laplace operators for a building of type\(\tilde A_2 \) . J Geom Anal 10, 339–363 (2000). https://doi.org/10.1007/BF02921829
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DOI: https://doi.org/10.1007/BF02921829