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Title: On the non-trivial solvability of one integral geometry problem
Authors: Лесина, Евгения Викторовна
Keywords: the homogeneous problem of integral geometry
the Jacobi polynomials
the Euclid measure on a hyperplane
the Dirichlet problem
Issue Date: 9-Nov-2016
Publisher: Book of Abstracts, 5th International Conference for Young Scientists on Differential Equations and Applications dedicated to Yaroslav Lopatynsky, Vasyl' Stus Donetsk National University
Abstract: The non-trivial solvability of the homogeneous problem of integral geometry is investigated. The problem is posed on a sphere generated with a cut of n-1-dimensional unit sphere by a hyperplane perpendicular to generatrices of a cone given by symbol of ultrahyperbolic operator. The connection of the problem under consideration with the Dirichlet problem for ultrahyperbolic equation in a ball is broadly used.
Appears in Collections:Наукові праці викладачів кафедри загальнонаукової підготовки

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