The finite Fourier transform of classical polynomials
Functional Analysis
2014-02-25 v1 Classical Analysis and ODEs
Abstract
The finite Fourier transform of a family of orthogonal polynomials , is the usual transform of the polynomial extended by outside their natural domain. Explicit expressions are given for the Legendre, Jacobi, Gegenbauer and Chebyshev families.
Keywords
Cite
@article{arxiv.1402.5544,
title = {The finite Fourier transform of classical polynomials},
author = {Atul Dixit and Lin Jiu and Victor H. Moll and Christophe Vignat},
journal= {arXiv preprint arXiv:1402.5544},
year = {2014}
}