In mathematics, Harish-Chandra's c-function is a function related to the intertwining operator between two principal series representations, that appears in the Plancherel measure for semisimple Lie groups. Harish-Chandra introduced a special case of it defined in terms of the asymptotic behavior of a zonal spherical function of a Lie group, and Harish-Chandra introduced a more general c-function called Harish-Chandra's (generalized) C-function. Gindikin and Karpelevich introduced the Gindikin–Karpelevich formula, a product formula for Harish-Chandra's c-function.
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