%0 Journal Article %T Global uniqueness of small representations %A Toshiyuki Kobayashi %A Gordan Savin %J Mathematics %D 2014 %I arXiv %X We prove that automorphic representations whose local components are certain small representations have multiplicity one. The proof is based on the multiplicity-one theorem for certain functionals of small representations, also proved in this paper. %U http://arxiv.org/abs/1412.8019v2