Abstract
This paper studies a problem of integral geometry in a three-dimensional layer on a family of paraboloids with a perturbation that is an integral with a weight function over the interiors of the paraboloids. Note that the exposition is based on the author’s works [1, 2]. Uniqueness questions of a similar problem on the plane were studied in [3]. Various analytic representations for solutions to problems of integral geometry on parabolas (paraboloids) were given in [4, 5]. Other classes of integral geometry problems on the plane and in the three-dimensional space were considered in [6, 7].
This work was partly supported by a grant No. 15/99 from the State Committee of Republic of Uzbekistan on Science and Technique.
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References
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© 2000 Kluwer Academic Publishers
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Begmatov, A.H. (2000). Problem of Integral Geometry on Paraboloids with Perturbation. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_13
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_13
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