References
Filon, L. N. G.: On a quadrature formula for trigonometric integrals. Proc. Roy. Soc. Edinburgh49, 38–47 (1928).
Luke, Y. L.: On the computation of oscillatory integrals. Proc. Cambridge Philos. Soc.50, 269–277 (1954). MR15, 992.
Flinn, E. A.: A modification of Filon's method of numerical integration. J. Assoc. Comput. Mach.7, 181–184 (1960). MR22, 5122.
Tranter, C. J.: Integral transforms in mathematical physics, 2nd edit., p. 67–72. London: Methuen & Co. 1956.
Hurwitz, H., andP. F. Zweifel: Numerical quadrature of Fourier transform integrals. Math. Tables Aids Comput.10, 140–149 (1956). MR18, 337.
——R. A. Pfeiffer, andP. F. Zweifel: Numerical quadrature of Fourier transform integrals II. Math. Tables Aids Comput.13, 87–90 (1959). MR21, 5283.
Saenger, A.: On numerical quadrature of Fourier transforms. J. Math. Anal. Appl.8, 1–3 (1964). MR28, 720.
Goldberg, R. R., andR. S. Varga: Moebius inversion of Fourier transforms. Duke Math. J.23, 553–559 (1956). MR18, 304.
Whittaker, E. T., andG. Robinson: The calculus of observations, 4th edit. p. 132–163. Glasgow: Blackie & Son 1944.
Irwin, J. O.: On quadrature and cubature: Tracts for computers X, ed.K. Pearson, p. 13. Cambridge: Cambridge University Press 1923.
Hardy, G. H.: Divergent series, p. 21–22. Oxford: Clarendon Press 1949.
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Clendenin, W.W. A method for numerical calculation of Fourier integrals. Numer. Math. 8, 422–436 (1966). https://doi.org/10.1007/BF02166668
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DOI: https://doi.org/10.1007/BF02166668