On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity

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Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Koornwinder, Tom H.;
(2008)

It is shown that the continuous q-Hermite polynomials for q a root of unity have simple transformation properties with respect to the classical Fourier transform. This result is then used to construct q-extended eigenvectors of the finite Fourier transform in terms of t... View more
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