Fourier transform of
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31—38 of 38 matching pages
31: Bibliography H
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The Laplace transform for expressions that contain a probability function.
Bul. Akad. Štiince RSS Moldoven. 1973 (2), pp. 78–80, 93 (Russian).
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A fast FFT-based discrete Legendre transform.
IMA J. Numer. Anal. 36 (4), pp. 1670–1684.
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Asymptotic expansion of Laplace transforms near the origin.
SIAM J. Math. Anal. 1 (1), pp. 118–130.
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Fast Hankel transform algorithm.
IEEE Trans. Acoust. Speech Signal Process. 32 (3), pp. 666–671.
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Applied and Computational Complex Analysis. Vol. 3: Discrete Fourier Analysis—Cauchy Integrals—Construction of Conformal Maps—Univalent Functions.
Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons Inc.], New York.
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32: Bibliography T
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LSFBTR: A subroutine for calculating spherical Bessel transforms.
Comput. Phys. Comm. 30 (1), pp. 93–99.
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Some definite integrals and Fourier series for Jacobian elliptic functions.
Z. Angew. Math. Mech. 49, pp. 95–96.
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Fourier Analysis on Finite Groups and Applications.
London Mathematical Society Student Texts, Vol. 43, Cambridge University Press, Cambridge.
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Introduction to the Theory of Fourier Integrals.
Third edition, Chelsea Publishing Co., New York.
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Fourier Series.
Prentice-Hall Inc., Englewood Cliffs, N.J..
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33: 20.14 Methods of Computation
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►The Fourier series of §20.2(i) usually converge rapidly because of the factors or , and provide a convenient way of calculating values of .
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►For values of near the transformations of §20.7(viii) can be used to replace with a value that has a larger imaginary part and hence a smaller value of .
…In theory, starting from any value of , a finite number of applications of the transformations
and will result in a value of with ; see §23.18.
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34: 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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Asymptotics of the first Appell function with large parameters II.
Integral Transforms Spec. Funct. 24 (12), pp. 982–999.
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Bessel transforms and rational extrapolation.
Numer. Math. 47 (1), pp. 1–14.
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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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35: 1.17 Integral and Series Representations of the Dirac Delta
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§1.17(ii) Integral Representations
►Formal interchange of the order of integration in the Fourier integral formula ((1.14.1) and (1.14.4)): … ►
1.17.12
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►Integral representation (1.17.12_1), (1.17.12_2) is the equivalent of the transform pairs, (1.14.9) (1.14.11), (1.14.10) (1.14.12), respectively.
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►Formal interchange of the order of summation and integration in the Fourier summation formula ((1.8.3) and (1.8.4)):
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36: Bibliography D
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Integral Transforms and their Applications.
2nd edition, Applied Mathematical Sciences, Vol. 25, Springer-Verlag, New York.
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Integral transforms and their applications.
Third edition, CRC Press, Boca Raton, FL.
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Computing spectra of linear operators using the Floquet-Fourier-Hill method.
J. Comput. Phys. 219 (1), pp. 296–321.
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Sur les zéros réels des polynômes de Bernoulli.
Ann. Inst. Fourier (Grenoble) 41 (2), pp. 267–309 (French).
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Handbuch der Laplace-Transformation. Bd. II. Anwendungen der Laplace-Transformation. 1. Abteilung.
Birkhäuser Verlag, Basel und Stuttgart (German).
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37: 22.20 Methods of Computation
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