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Added by Arxiv Bot | Added: 2026-03-02 18:01 | Views: 2 | Source: arXiv Dataset IDs (Model)

Inverse Harish-Chandra Transform and Difference Operators

Authors	Ivan Cherednik
Categories	q-alg math.QA
ArXiv ID	q-alg/9706010
URL	https://arxiv.org/abs/q-alg/9706010

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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    "abstract": "We apply a new technique based on double affine Hecke algebras to the\nHarish-Chandra theory of spherical zonal functions. The formulas for the\nFourier transforms of the multiplications by the coordinates are obtained as\nwell as a simple proof of the Harish-Chandra inversion theorem using the Opdam\ntransform.",
    "arxiv_id": "q-alg/9706010",
    "authors": [
      "Ivan Cherednik"
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      "q-alg",
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    "title": "Inverse Harish-Chandra Transform and Difference Operators",
    "url": "https://arxiv.org/abs/q-alg/9706010"
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