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The kernel of the generalized Clifford-Fourier transform and its generating function

Pan Lian (UGent) , Gejun Bao, Hendrik De Bie (UGent) and Denis Constales (UGent)
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Abstract
In this paper, we study the generalized Clifford-Fourier transform using the Laplace transform technique. We give explicit expressions in the even dimensional case, we obtain polynomial bounds for the kernel functions and establish a generating function.
Keywords
Clifford-Fourier transform, Laplace transform, Bessel function, generalized Fourier transform

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MLA
Lian, Pan, et al. “The Kernel of the Generalized Clifford-Fourier Transform and Its Generating Function.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 62, no. 2, TAYLOR & FRANCIS LTD, 2017, pp. 214–29, doi:10.1080/17476933.2016.1218851.
APA
Lian, P., Bao, G., De Bie, H., & Constales, D. (2017). The kernel of the generalized Clifford-Fourier transform and its generating function. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 62(2), 214–229. https://doi.org/10.1080/17476933.2016.1218851
Chicago author-date
Lian, Pan, Gejun Bao, Hendrik De Bie, and Denis Constales. 2017. “The Kernel of the Generalized Clifford-Fourier Transform and Its Generating Function.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 62 (2): 214–29. https://doi.org/10.1080/17476933.2016.1218851.
Chicago author-date (all authors)
Lian, Pan, Gejun Bao, Hendrik De Bie, and Denis Constales. 2017. “The Kernel of the Generalized Clifford-Fourier Transform and Its Generating Function.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 62 (2): 214–229. doi:10.1080/17476933.2016.1218851.
Vancouver
1.
Lian P, Bao G, De Bie H, Constales D. The kernel of the generalized Clifford-Fourier transform and its generating function. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2017;62(2):214–29.
IEEE
[1]
P. Lian, G. Bao, H. De Bie, and D. Constales, “The kernel of the generalized Clifford-Fourier transform and its generating function,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 62, no. 2, pp. 214–229, 2017.
@article{8510731,
  abstract     = {{In this paper, we study the generalized Clifford-Fourier transform using the Laplace transform technique. We give explicit expressions in the even dimensional case, we obtain polynomial bounds for the kernel functions and establish a generating function.}},
  author       = {{Lian, Pan and Bao, Gejun and De Bie, Hendrik and Constales, Denis}},
  issn         = {{1747-6933}},
  journal      = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}},
  keywords     = {{Clifford-Fourier transform,Laplace transform,Bessel function,generalized Fourier transform}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{214--229}},
  publisher    = {{TAYLOR & FRANCIS LTD}},
  title        = {{The kernel of the generalized Clifford-Fourier transform and its generating function}},
  url          = {{http://doi.org/10.1080/17476933.2016.1218851}},
  volume       = {{62}},
  year         = {{2017}},
}

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