Inverse Harish-Chandra Transform and Difference Operators
classification
q-alg
math.QA
keywords
harish-chandratransformaffinealgebrasapplycoordinatesdifferencedouble
read the original 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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