The finite Fourier transform of classical polynomials
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🧮 math.FA
math.CA
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transformfinitefourierpolynomialschebyshevclassicaldomainexplicit
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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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