Nonuniqueness results for X-ray problems with point sources (Q1193704)
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scientific article; zbMATH DE number 65046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonuniqueness results for X-ray problems with point sources |
scientific article; zbMATH DE number 65046 |
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Nonuniqueness results for X-ray problems with point sources (English)
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27 September 1992
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Let \(X\) be any finite set of points, no three on a line, in \(E^ d\), \(d\geq 2\). Author constructs uncountable families of Borel sets each of which having the same \(X\)-ray image with point sources in \(X\). This shows that \(X\)-ray images of Borel sets have a completely different behaviour than those of convex sets.
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\(X\)-ray problem
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Borel sets
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0.7878134250640869
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0.7839949131011963
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