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math.QA2000
Hankel transform via double Hecke algebra
Ivan Cherednik, Yavor Markov
We use a degeneration of the 1D double affine Hecke algebra and the Dunkl operator to study systematically nonsymmetric Bessel functions and their truncations.
math.QA2000
One-dimensional double Hecke algebras and Gaussians
Ivan Cherednik
We use one-dimensional double affine Hecke algebras to introduce q-counterparts of the Gauss integrals and new types of Gauss-Selberg sums at roots of unity.