Abstract
We indicate how recent results of Grafakos and Teschl (J Fourier Anal Appl 19:167–179, 2013), and Estrada (J Fourier Anal Appl 20:301–320, 2014), relating the Fourier transform of a radial function in \(\mathbb R^n\) and the Fourier transform of the same function in \(\mathbb R^{n+2}\) and \(\mathbb R^{n+1}\), respectively, are located within known results on transplantation for Hankel transforms.
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References
Estrada, R.: On radial functions and distributions and their Fourier transforms. J. Fourier Anal. Appl. 20, 301–320 (2014)
Grafakos, L., Teschl, G.: On Fourier transforms of radial functions and distributions. J. Fourier Anal. Appl. 19, 167–179 (2013)
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Research of the second-named author supported by funds of Instytut Matematyki i Informatyki, Politechnika Wrocławska, Project #S30097/I-18.
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Communicated by Arieh Iserles.
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Nowak, A., Stempak, K. A Note on Recent Papers by Grafakos and Teschl, and Estrada. J Fourier Anal Appl 20, 1141–1144 (2014). https://doi.org/10.1007/s00041-014-9348-z
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DOI: https://doi.org/10.1007/s00041-014-9348-z