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Spherical Functions on 2-adic Ramified Hermetian Spaces (1210.1083v1)
Published 3 Oct 2012 in math.RT
Abstract: Y. Hironaka introduced the spherical functions on the p-adic space of Hermitian matrices. For the space of 2\times2 Hermitian matrices, we complete Hironaka's work by also considering the case of a wildly ramified quadratic extension. We compute the spherical functions explicitly and obtain the functional equations.
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