Comments on “The fractional Laplace transform”

Signal, Image and Video Processing - Tập 8 - Trang 489-490 - 2012
Manuel D. Ortigueira1,2
1Department of Electrical Engineering, Faculdade de Ciênciase e Tecnologia, Universidade Nova de Lisboa, Monte da Caparica, Portugal
2UNINOVA, Monte da Caparica, Portugal

Tóm tắt

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.

Tài liệu tham khảo

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)