Some Results on Bessel Functionals for GSp ( 4 )

نویسندگان

  • Ralf Schmidt
  • Don Blasius
چکیده

We prove that every irreducible, admissible representation π of GSp(4, F ), where F is a non-archimedean local field of characteristic zero, admits a Bessel functional, provided π is not onedimensional. If π is not supercuspidal, we explicitly determine the set of all Bessel functionals admitted by π, and prove that Bessel functionals of a fixed type are unique. If π is supercuspidal, we do the same for all split Bessel functionals. 2010 Mathematics Subject Classification: Primary 11F70 and 22E50

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تاریخ انتشار 2016