Inverse Harish-Chandra Transform and Difference Operators

Details Inverse Harish-Chandra Transform and Difference Operators Inverse Harish-Chandra Transform and Difference Operators

1997-06-12

arxiv.org/abs/q-alg/9706010v2

Mathematics

Quantum Algebra

AMSTeX

Scientific paper

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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