Multiplicity one theorems
Multiplicity one theorems
In the local, characteristic 0, non-Archimedean case, we consider distributions on GL.n C 1/ which are invariant under the adjoint action of GL.n/.We prove that such distributions are invariant by transposition.This implies multiplicity at most one for restrictions from GL.n C 1/ to GL.n/.Similar theorems are obtained for orthogonal or …