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[1] D. Ruiz—Antolín and A. Townsend. <ahref="https://doi.org/10.1137/17M1134822">A nonuniform fast Fourier transform based on low rank approximation</a>, *SIAM J. Sci. Comput.*, **40**:A529–A547, 2018.
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[1] D. Ruiz—Antolín and A. Townsend, [A nonuniform fast Fourier transform based on low rank approximation](https://doi.org/10.1137/17M1134822), *SIAM J. Sci. Comput.*, **40**:A529–A547, 2018.
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[2] S. Olver, R. M. Slevinsky, and A. Townsend. <ahref="https://doi.org/10.1017/S0962492920000045">Fast algorithms using orthogonal polynomials</a>, *Acta Numerica*, **29**:573—699, 2020.
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[2]T. S. Gutleb, S. Olver and R. M. Slevinsky, [Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations](https://arxiv.org/abs/2302.08448), arXiv:2302.08448, 2023.
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[3]R. M. Slevinsky. <ahref="https://doi.org/10.1016/j.acha.2017.11.001">Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series</a>, *Appl. Comput. Harmon. Anal.*, **47**:585—606, 2019.
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[3]S. Olver, R. M. Slevinsky, and A. Townsend, [Fast algorithms using orthogonal polynomials](https://doi.org/10.1017/S0962492920000045), *Acta Numerica*, **29**:573—699, 2020.
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[4] R. M. Slevinsky, <ahref="https://arxiv.org/abs/1711.07866">Conquering the pre-computation in two-dimensional harmonic polynomial transforms</a>, arXiv:1711.07866, 2017.
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[4] R. M. Slevinsky, [Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series](https://doi.org/10.1016/j.acha.2017.11.001), *Appl. Comput. Harmon. Anal.*, **47**:585—606, 2019.
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[5] R. M. Slevinsky, [Conquering the pre-computation in two-dimensional harmonic polynomial transforms](https://arxiv.org/abs/1711.07866), arXiv:1711.07866, 2017.
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# Development Documentation
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The core of `FastTransforms.jl` is developed in parallel with the [C library](https://github.com/MikaelSlevinsky/FastTransforms) of the same name. Julia and C interoperability is enhanced by the [BinaryBuilder](https://github.com/JuliaPackaging/BinaryBuilder.jl) infrastructure, which provides the user a safe and seamless experience using a package in a different language.
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The core of [`FastTransforms.jl`](https://github.com/JuliaApproximation/FastTransforms.jl) is developed in parallel with the [C library](https://github.com/MikaelSlevinsky/FastTransforms) of the same name. Julia and C interoperability is enhanced by the [BinaryBuilder](https://github.com/JuliaPackaging/BinaryBuilder.jl) infrastructure, which provides the user a safe and seamless experience using a package in a different language.
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## Introduction
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`FastTransforms.jl` allows the user to conveniently work with orthogonal polynomials with degrees well into the millions.
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[`FastTransforms.jl`](https://github.com/JuliaApproximation/FastTransforms.jl) allows the user to conveniently work with orthogonal polynomials with degrees well into the millions.
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This package provides a Julia wrapper for the [C library](https://github.com/MikaelSlevinsky/FastTransforms) of the same name. Additionally, all three types of nonuniform fast Fourier transforms available, as well as the Padua transform.
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