The kernel of the generalized Clifford-Fourier transform and its generating function
- Author
- Pan Lian (UGent) , Gejun Bao, Hendrik De Bie (UGent) and Denis Constales (UGent)
- Organization
- 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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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8510731
- 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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