Geodesic
Some results on Bessel functionals for GSp(4)
Documenta mathematica, Tome 21 (2016), pp. 467-553
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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 one-dimensional. 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.
DOI : 10.4171/dm/539
Classification : 11F70, 22E50 
@article{10_4171_dm_539,
     author = {Ralf Schmidt and Brooks Roberts},
     title = {Some results on {Bessel} functionals for {GSp(4)}},
     journal = {Documenta mathematica},
     pages = {467--553},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/539},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/539/}
}
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Ralf Schmidt; Brooks Roberts. Some results on Bessel functionals for GSp(4). Documenta mathematica, Tome 21 (2016), pp. 467-553. doi: 10.4171/dm/539

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