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Bargmann–Radon transform for axially monogenic functions

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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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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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