Analys- och sannolikhetsseminarium

Abstract finns enbart på engelska: We establish a characterization of the $L^2$-range of generalized spectral projections on the bundle of differential forms over the real hyperbolic space $H^n(\mathbb R)$. As an intermediate result, we obtain a characterization of the $L^2$-range of the Poisson transform on the bundle of differential forms on the boundary $\partial H^n(\mathbb R)$. This results confirm a conjecture by Strichartz regarding differential forms. (joint work with A. Boussejra).