Inverse Harish-Chandra Transform and Difference Operators
q-alg
2008-02-03 v2 Quantum Algebra
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.
Cite
@article{arxiv.q-alg/9706010,
title = {Inverse Harish-Chandra Transform and Difference Operators},
author = {Ivan Cherednik},
journal= {arXiv preprint arXiv:q-alg/9706010},
year = {2008}
}
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