Ramified Satake Isomorphisms for Strongly Parabolic Characters

For certain characters of the compact maximal torus of a reductive $p$-adic group, which we call strongly parabolic characters, we prove Satake-type isomorphisms. Our results generalize those of Satake, Howe, Bushnell and Kutzko, and Roche.

2010 Mathematics Subject Classification: 20G25

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