Class of problems of integral geometry on the plane (Q912412)
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scientific article; zbMATH DE number 4144889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Class of problems of integral geometry on the plane |
scientific article; zbMATH DE number 4144889 |
Statements
Class of problems of integral geometry on the plane (English)
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1989
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The problem referred to in the title is a perturbation of the problem of determining a function from the values of its line integrals along parabolas of the form \((x_ 0+h, y_ 0-h^ 2).\) For this strongly ill- posed problem, the author proves a uniqueness theorem, generalizing a result of \textit{V. G. Romanov} [Sib. Mat. Zh. 8, 1206-1208 (1967 Zbl 0156.359)].
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integral geometry
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line integrals along parabolas
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ill-posed problem
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uniqueness theorem
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