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Fourier, Laplace and Hilbert transforms

Fourier, Laplace and Hilbert transforms

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For a simple evaluation of the Hilbert transform, iterated Fourier- or Laplace-transform schemes have been suggested. In this letter, an alternative iterated transform scheme, more general than the one previously reported, has been put forward.

Inspec keywords: transforms; Fourier transforms

Subjects: Integral transforms

References

    1. 1)
      • A.A. Wolf . The Hilbert transform as an iterated Laplace transform. IEEE Trans. , 728 - 729
    2. 2)
      • T.H. Crystal . The Hilbert transform as an iterated Fourier transform. IEEE Trans.
    3. 3)
      • D.V. Widder . (1946) , The Laplace transform.
    4. 4)
      • E.J. McShane , T.A. Botts . (1959) Real analysis.
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