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MR578896 22E30 (22E45)
Hirai, Takeshi Invariant eigendistributions of Laplace operators on real simple Lie groups. IV. Explicit forms of the characters of discrete series representations for ${\rm Sp}(n,\,{\bf R})$. Japan. J. Math. (N.S.) 3 (1977), no. 1, 1–48.
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