On Radial Functions and Distributions and Their Fourier Transforms |
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Authors: | Ricardo Estrada |
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Institution: | 1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA
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Abstract: | We give formulas relating the Fourier transform of a radial function in $\mathbb{R}^{n}$ and the Fourier transform of the same function in $\mathbb{R}^{n+1}$ , completing the analysis of Grafakos and Teschl (J. Fourier Anal. Appl. 19:167–179, 2013) where the case of $\mathbb{R}^{n}$ and $\mathbb{R}^{n+2}$ was considered. |
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