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math.QA2001
From Double Hecke algebra to Fourier transform
Ivan Cherednik, Viktor Ostrik
The paper contains a systematic theory of the one-dimensional Double Hecke algebra, including applications to the difference Fourier transform, Macdonald's polynomials, Gaussian su…
math.QA2001
Double Affine Hecke Algebras and Difference Fourier Transforms
Ivan Cherednik
In the paper, we introduce and calculate difference Fourier transforms on representations of the double affine Hecke algebras in polynomilas, polynomials multiplied by the Gaussian…