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The aim of this paper is to present inversion methods for the classical Radontransform which is defined on a family of $k$ dimensional planes in $\BbbR^{n}$ where $1\leq k\leq n - 2$. For these values of $k$ the dimension of theset $\mathcal{H}(n,k)$, of all $k$ dimensional planes in $\Bbb R^{n}$, isgreater than $n$ and thus in order to obtain a well-posed problem one shouldchoose proper subsets of $\mathcal{H}(n,k)$. We present inversion methods forsome prescribed subsets of $\mathcal{H}(n,k)$ which are of dimension $n$.

Revisiting the Problem of Recovering Functions in $\Bbb R^{n}$ by Integration on $k$ Dimensional Planes