Vladimir Molchanov

Radon transform on a hyperboloid related to isotropic lines

Let $\cal X$ be a hyperboloid in ${\Bbb R}^n$. Isotropic lines on $\cal X$ are lines containing in $\cal X$ completely. We consider a Radon transform $R$ that to functions on $\cal X$ assigns their integrals over isotropic lines. We determine the kernel and the image of $R$.

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