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- W4300721572 abstract "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 Poisson kernel with Askey--Wilson polynomials. This approach enables us to obtain some new results, for example, the complex and real orthogonalities of these kernels." @default.
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- W4300721572 date "1994-11-28" @default.
- W4300721572 modified "2023-10-18" @default.
- W4300721572 title "On a general q-Fourier transformation with nonsymmetric kernels" @default.
- W4300721572 doi "https://doi.org/10.48550/arxiv.math/9411229" @default.
- W4300721572 hasPublicationYear "1994" @default.
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