Trombi–Varadarajan theorem

Short description: Relates spherical functions on a semisimple Lie group to certain holomorphic functions

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: 246–303, doi:10.2307/1970861 .