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For odd dimensional Poincar\'e-Einstein manifolds $(X^{n+1},g)$, we study the set of harmonic $k$-forms (for $k<\ndemi$) which are $C^m$ (with $m\in\nn$) on the conformal compactification $\bar{X}$ of $X$.
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N. Yeganefar, Formes harmoniques L 2 L^{2} sur les variétés à courbures négatives , PhD thesis, http://tel.archives-ouvertes.fr/tel-00003778/
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