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arXiv · 1501.00221

Some results on Bessel functionals for GSp(4)

Brooks Roberts·Ralf Schmidt
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Abstract

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.

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Brooks Roberts, Ralf Schmidt. 2014-12-31. Some results on Bessel functionals for GSp(4). https://arxiv.org/abs/1501.00221

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