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Inverse Harish-Chandra Transform and Difference Operators

Ivan Cherednik
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Abstract

We apply a new technique based on double affine Hecke algebras to the Harish-Chandra theory of spherical zonal functions. The formulas for the Fourier transforms of the multiplications by the coordinates are obtained as well as a simple proof of the Harish-Chandra inversion theorem using the Opdam transform.

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Ivan Cherednik. 1997-06-13. Inverse Harish-Chandra Transform and Difference Operators. https://arxiv.org/abs/q-alg/9706010

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