Abstract
In Sharma (SIViP 4:377–379, 2010) a fractional Laplace transform assumed to generalize the fractional Fourier transform was proposed. Here, it is shown that its region of convergence degenerates to the imaginary axis. So it is not a generalization of the fractional Fourier transform.
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Sharma K.K.: Fractional Laplace transform. SIViP 4, 377–379 (2010). doi:10.1007/s11760-009-0127-2
Corinthios M.J.: Generalization of the Dirac-delta impulse extending Laplace and z transform domains. IEE Proc. Vis. Image Signal Process. 150(2), 69–81 (2003)
Hoskins, R.F., Pinto, J.S.: Distributions, Ultradistributions, and Other Generalised Functions. Ellis Horwood Limited
Ozaktas H.M., Zalevsky Z., Kutay M.A.: The Fractional Fourier Transform with Applications in Optics and Signal Processing, pp. . Wiley, Chichester (2001)
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Ortigueira, M.D. Comments on “The fractional Laplace transform”. SIViP 8, 489–490 (2014). https://doi.org/10.1007/s11760-012-0360-y
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DOI: https://doi.org/10.1007/s11760-012-0360-y