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We given an elementary construction of Stein's complementary series for GL(2n) over an arbitrary local field F , and determine their restrictions to the "mirabolic" subgroup P2n « GL(2«-1,F)ikF2"_1 . Taken together with the results in [S], this allows one to calculate the adduced representation An for an arbitrary irreducible, unitary representation n of GL(n,C) .doi:10.1090/s0002-9939-1990-0984813-7 fatcat:leqkwgxxf5fhxer6fl7xrow2de