• Corpus ID: 239016253

Local newforms for the general linear groups over a non-archimedean local field

@inproceedings{Atobe2021LocalNF,
  title={Local newforms for the general linear groups over a non-archimedean local field},
  author={Hiraku Atobe and Satoshi Kondo and Seidai Yasuda},
  year={2021}
}
In [12], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-adic general linear groups indexed by non-negative integers, and established the theory of local newforms for irreducible generic representations. In this paper, we extend their results to all irreducible representations. To do this, we define a new family of compact open subgroups indexed by certain tuples of non-negative integers. For the proof, we introduce the Rankin–Selberg integrals for Speh… 
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