On a General Q-fourier Transformation with Nonsymmetric Kernels †

@inproceedings{Askey1994OnAG,
  title={On a General Q-fourier Transformation with Nonsymmetric Kernels †},
  author={Richard Askey and Mizan Rahman and Sergĕı K. Suslov},
  year={1994}
}
Wiener used the Poisson kernel for the Hermite polynomials to deal with the classical Fourier transform. Askey, Atakishiyev and Suslov used this approach to obtain a q-Fourier transform by using the continuous q-Hermite polynomials. Rahman and Suslov extended this result by taking the Askey–Wilson polynomials, considered to be the most general continuous classical orthogonal polynomials. The theory of q-Fourier transformation is further extended here by considering a nonsymmetric version of the… CONTINUE READING
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