Fonctions Dont les Intégrales Orbitales et Celles de Leurs Transformées de Fourier Sont à Support Topologiquement Nilpotent

Let F be a p-adic field and let G connected reductive group defined over F. We assume p is large. Denote g the Lie algebra of G. To each vertex s reduced Bruhat–Tits’ building G, we associate as usual gs residual Fq. normalize suitably Fourier-transform f↦fˆ on Cc∞(g(F)). study subspace functions f∈Cc∞(g(F)) such that orbital integrals f fˆ are 0 for element g(F) which not topologically nilpotent. This space related to characteristic character-sheaves spaces gs(Fq), s, cuspidal with nilpotent support. prove our behave well under endoscopy.