Banach-Hecke Algebras and p-Adic Galois Representations

In this paper, we take some initial steps towards illuminating the (hypothetical) $p$-adic local Langlands functoriality principle relating Galois representations of a $p$-adic field $L$ and admissible unitary Banach space representations of $G(L)$ when $G$ is a split reductive group over $L$.

2000 Mathematics Subject Classification: 11F80, 11S37, 22E50

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