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arXiv 0811.4100math.CA
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On a q-extension of Mehta's eigenvectors of the finite Fourier transform for q a root of unity

Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Tom H. Koornwinder

英文摘要:

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 these polynomials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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