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arXiv · 1402.5544

The finite Fourier transform of classical polynomials

Atul Dixit·Lin Jiu·Victor H. Moll·Christophe Vignat
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Abstract

The finite Fourier transform of a family of orthogonal polynomials $A_{n}(x)$, is the usual transform of the polynomial extended by $0$ outside their natural domain. Explicit expressions are given for the Legendre, Jacobi, Gegenbauer and Chebyshev families.

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Atul Dixit, Lin Jiu, Victor H. Moll, Christophe Vignat. 2014-02-22. The finite Fourier transform of classical polynomials. https://arxiv.org/abs/1402.5544

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