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- W1878689576 abstract "A simple example of an $n$-dimensional admissible complex of planes is given for the overdetermined $k$-plane transform in $mathbb{R}^n$. For the corresponding restricted $k$-plane transform sharp existence conditions are obtained and explicit inversion formulas are discussed in the general context of $L^p$ functions. Similar questions are studied for overdetermined Radon type transforms on the sphere and the hyperbolic space. A theorem describing the range of the restricted $k$-plane transform on the space of rapidly decreasing smooth functions is proved." @default.
- W1878689576 created "2016-06-24" @default.
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- W1878689576 date "2015-01-01" @default.
- W1878689576 modified "2023-09-26" @default.
- W1878689576 title "Overdetermined Transforms in Integral Geometry" @default.
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- W1878689576 doi "https://doi.org/10.1090/conm/653/13200" @default.
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