Mantero, Zappa: Eigenfunctions of the Laplace Operators for a Building of Type $\widetilde{G}

Mantero, A. M. and Zappa, A.:
Eigenfunctions of the Laplace Operators for a Building of Type $\widetilde{G}_{2}$
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.2, p. 483-508, (English)
pdf (2.36 MB), djvu (250 Kb). | MR 2537284 | Zbl 1181.43004

Sunto

Let $\Delta$ be thick affine building of type $\widetilde{G}_{2}$ the Laplace operators of $\Delta$; associated with a pair $(y_{1}, y_{2})$; is the Poisson transform of a suitable finitely additive measure on the maximal boundary $\Omega$ of $\Delta$; by using only the combinatorial structure of $\Delta$.

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Referenze Bibliografiche