fast Fourier transform
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1: 3.11 Approximation Techniques
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The Fast Fourier Transform
… ►The method of the fast Fourier transform (FFT) exploits the structure of the matrix with elements , . …2: Bibliography V
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Computational Frameworks for the Fast Fourier Transform.
Frontiers in Applied Mathematics, Vol. 10, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
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3: Bibliography Z
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A fast Fourier-Bessel transform algorithm.
Zh. Vychisl. Mat. i Mat. Fiz. 35 (7), pp. 1128–1133 (Russian).
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4: Bibliography S
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Numerical evaluation of spherical Bessel transforms via fast Fourier transforms.
J. Comput. Phys. 100 (2), pp. 294–296.
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5: Bibliography L
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Optimal cylindrical and spherical Bessel transforms satisfying bound state boundary conditions.
Comput. Phys. Comm. 99 (2-3), pp. 297–306.
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An Introduction to Fourier Analysis and Generalised Functions.
Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York.
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Bessel transforms and rational extrapolation.
Numer. Math. 47 (1), pp. 1–14.
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VOIGTL – A fast subroutine for Voigt function evaluation on vector processors.
Comput. Phys. Comm. 75 (1-2), pp. 135–142.
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Adjusted forms of the Fourier coefficient asymptotic expansion and applications in numerical quadrature.
Math. Comp. 25 (113), pp. 87–104.
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6: Bibliography P
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A Kummer-type transformation for a hypergeometric function.
J. Comput. Appl. Math. 173 (2), pp. 379–382.
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Bounds for ratios of modified Bessel functions.
Integral Transform. Spec. Funct. 9 (4), pp. 293–298.
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Fourier Series and Integral Transforms.
Cambridge University Press, Cambridge.
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Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations.
J. Quantit. Spec. and Rad. Trans. 62 (4), pp. 389–395.
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Integrals and Series: Direct Laplace Transforms, Vol. 4.
Gordon and Breach Science Publishers, New York.
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7: Bibliography C
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An algorithm for the Fourier-Bessel transform.
Comput. Phys. Comm. 23 (4), pp. 343–353.
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Introduction to the Theory of Fourier’s Series and Integrals.
3rd edition, Macmillan, London.
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Macdonald’s evaluation conjectures and difference Fourier transform.
Invent. Math. 122 (1), pp. 119–145.
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Optimized fast Hankel transform filters.
Geophysical Prospecting 38 (5), pp. 545–568.
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A method for numerical calculation of Fourier integrals.
Numer. Math. 8 (5), pp. 422–436.
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