Abstract
In this paper we find a very explicit, simple form for the Plancherel measure for rank one, linear simple groups, including the normalizing constant.
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Miatello, R.J. On the Plancherel measure for linear Lie groups of rank one. Manuscripta Math 29, 249–276 (1979). https://doi.org/10.1007/BF01303630
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DOI: https://doi.org/10.1007/BF01303630