In mathematics, the Trombi–Varadarajan theorem, introduced by Trombi and Varadarjan (1971), gives an isomorphism between a certain space of spherical functions on a semisimple Lie group, and a certain space of holomorphic functions defined on a tubular neighborhood of the dual of a Cartan subalgebra.
References Trombi, P. C.; Varadarajan, V. S. (1971), "Spherical transforms of semisimple Lie groups", Annals of Mathematics, Second Series, 94 (2): 246–303, doi:10.2307/1970861, JSTOR 1970861, MR 0289725.