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Trombi–Varadarajan theorem

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This is an old revision of this page, as edited by ArnoldReinhold (talk | contribs) at 15:49, 10 May 2020 (Adding short description: "Relates spherical functions on a semisimple Lie group to certain holomorphic functions" (Shortdesc helper)). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

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, JSTOR 1970861, MR 0289725.
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