
Bargmann–Radon transform for axially monogenic functions
- Author
- Ali Guzmán Adán (UGent) , Ren Hu, Tim Raeymaekers (UGent) and Franciscus Sommen (UGent)
- Organization
- Abstract
- In this paper, we study the Bargmann-Radon transform and a class of monogenic functions called axially monogenic functions. First, we compute the explicit formula of the Bargmann-Radon transform for axially monogenic functions, by making use of the Funk-Hecke theorem. Then we present the explicit form of the general Cauchy-Kowalewski extension for radial function. Finally, by making use of the results we obtained, we give an application of the Bargmann-Radon transform for Cauchy-Kowalewski extension.
- Keywords
- Clifford analysis, Bargmann-Radon transform, axially monogenic functions, Cauchy-Kowalewski extension
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8687293
- MLA
- Guzmán Adán, Ali, et al. “Bargmann–Radon Transform for Axially Monogenic Functions.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 65, no. 11, 2020, pp. 1846–61, doi:10.1080/17476933.2019.1684482.
- APA
- Guzmán Adán, A., Hu, R., Raeymaekers, T., & Sommen, F. (2020). Bargmann–Radon transform for axially monogenic functions. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 65(11), 1846–1861. https://doi.org/10.1080/17476933.2019.1684482
- Chicago author-date
- Guzmán Adán, Ali, Ren Hu, Tim Raeymaekers, and Franciscus Sommen. 2020. “Bargmann–Radon Transform for Axially Monogenic Functions.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 65 (11): 1846–61. https://doi.org/10.1080/17476933.2019.1684482.
- Chicago author-date (all authors)
- Guzmán Adán, Ali, Ren Hu, Tim Raeymaekers, and Franciscus Sommen. 2020. “Bargmann–Radon Transform for Axially Monogenic Functions.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 65 (11): 1846–1861. doi:10.1080/17476933.2019.1684482.
- Vancouver
- 1.Guzmán Adán A, Hu R, Raeymaekers T, Sommen F. Bargmann–Radon transform for axially monogenic functions. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2020;65(11):1846–61.
- IEEE
- [1]A. Guzmán Adán, R. Hu, T. Raeymaekers, and F. Sommen, “Bargmann–Radon transform for axially monogenic functions,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, vol. 65, no. 11, pp. 1846–1861, 2020.
@article{8687293, abstract = {{In this paper, we study the Bargmann-Radon transform and a class of monogenic functions called axially monogenic functions. First, we compute the explicit formula of the Bargmann-Radon transform for axially monogenic functions, by making use of the Funk-Hecke theorem. Then we present the explicit form of the general Cauchy-Kowalewski extension for radial function. Finally, by making use of the results we obtained, we give an application of the Bargmann-Radon transform for Cauchy-Kowalewski extension.}}, author = {{Guzmán Adán, Ali and Hu, Ren and Raeymaekers, Tim and Sommen, Franciscus}}, issn = {{1747-6933}}, journal = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}}, keywords = {{Clifford analysis,Bargmann-Radon transform,axially monogenic functions,Cauchy-Kowalewski extension}}, language = {{eng}}, number = {{11}}, pages = {{1846--1861}}, title = {{Bargmann–Radon transform for axially monogenic functions}}, url = {{http://doi.org/10.1080/17476933.2019.1684482}}, volume = {{65}}, year = {{2020}}, }
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