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Hölder continuity of Radon transform of smooth function

It turns out that the "correct" domain of definition of the Radon transform is the Schwarz space $\mathcal S(\mathbb R^n)$ of infinitely-differential functions on $\mathbb R^n$ with ...
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Continuity of Radon transform w.r.t the angle

In the following I shall assume that $f$ is continuous with compact support. It is known that if $\varphi : \mathbb R^n \to \mathbb R$ has $\nabla \varphi \ne 0$ at all the points of $H = \varphi^{-1} ...
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Continuity of Radon transform w.r.t the angle

This is only a comment (but I amn't entitled) and applies also to your related question. Your formula involves three operations--composition, multiplication and integration. You finally ask when ...
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Inverse Mellin transform of 3 gamma functions product

This answer is intended to provide additional insight into the initial answer posted by Carlo Beenakker. The MeijerG function is defined as $$\text{MeijerG}\left[\{\{a_1..a_n\},\{a_{n+1}..a_p\}\},\{\{...
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Inverse Mellin transform of 3 gamma functions product

To avoid all poles in the Mellin inversion formula you want to integrate along the line $\int_{\gamma-i\infty}^{\gamma+i\infty}ds$ where $\gamma>\max(0,-a/2,-b/2)$; then Mathematica gives the ...
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