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DH's answer is not quite correct: The complementary series do not "appear in" L^2(H)$L^{2}\left(H\right)$, i.e., they they do not appear in the support of a Plancherel measure.

DH's answer is not quite correct: The complementary series do not "appear in" L^2(H), i.e., they do not appear in the support of a Plancherel measure.

DH's answer is not quite correct: The complementary series do not "appear in" $L^{2}\left(H\right)$, i.e., they do not appear in the support of a Plancherel measure.

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DH's answer is not quite correct: The complementary series do not "appear in" L^2(H), i.e., they do not appear in the support of a Plancherel measure.