From Wikipedia, the free encyclopedia

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.
From Wikipedia, the free encyclopedia

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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