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On integral and finite Fourier transforms of continuous q-Hermite polynomials

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If you have a question about this talk, please contact Mustapha Amrani.

Discrete Integrable Systems

We give an overview of the remarkably simple transformation properties of the continuous q-Hermite polynomials of Rogers with respect to the classical Fourier integral transform. The behaviour of the q-Hermite polynomials under the finite Fourier transform and an explicit form of the q-extended eigenfunctions of the finite Fourier transform, defined in terms of these polynomials, are also discussed.

This talk is part of the Isaac Newton Institute Seminar Series series.

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