Let Δ be a thick affine building of type Ã2 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.
Eigenfunctions of the Laplacians for an affine building for an affine building of type Ã2
MANTERO, ANNA MARIA;ZAPPA, ANNA
2000-01-01
Abstract
Let Δ be a thick affine building of type Ã2 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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