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Stable base change for spherical functions

Stable base change for spherical functions

Let E/F be an unramified cyclic extension of local non-archimedean fields, G a connected reductive group over F, K(F ) (resp. K ( E )) a hyper-special maximal compact subgroup of G(F ) (resp. G(E )), and H(F ) (resp. H ( E )) the Hecke convolution algebra of compactly-supported …