%0 Journal Article
%T Some results on Bessel functionals for GSp(4)
%A Brooks Roberts
%A Ralf Schmidt
%J Mathematics
%D 2014
%I arXiv
%X We prove that every irreducible, admissible representation of GSp(4,F), where F is a non-archimedean local field of characteristic zero, admits a Bessel functional, provided the representation is not one-dimensional. Given such a representation, we explicitly determine the set of all split Bessel functionals admitted by the representation, and prove that these functionals are unique. If the representation is not supercuspidal, or in an L-packet with a non-supercuspidal representation, we explicitly determine the set of all Bessel functionals admitted by the representation, and prove that these functionals are unique.
%U http://arxiv.org/abs/1501.00221v1