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INTEGRAL GEOMETRY PROBLEMS WITH PERTURBATION IN THE FAMILY OF PARABOLAS WITH A WEIGHT FUNCTION OF A SPECIAL FORM

Z.Kh.Ochilov


In this article, we present a statement of the integral geometry problem with
perturbation over a family of parabolas in a strip. The weight function of which has a fairly general
form. A uniqueness theorem for its solution in the class of twice continuously differentiable and
compactly supported functions is proved, and stability estimates are obtained in spaces of finite
smoothness.



https://doi.org/10.59251/2181-1296.v3.1331.652

Sahifalar soni 01-10 | 154 Ko'rishlar | 111 Yuklab olishlar

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