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Reconstructions from integrals over non-analytic manifolds
Communications in Contemporary Mathematics ( IF 1.2 ) Pub Date : 2020-11-02 , DOI: 10.1142/s0219199720500613
Victor Palamodov 1
Affiliation  

The known integral transforms of Funk–Radon type are applied to manifolds which have algebraic structure (planes, spheres, ellipsoids, hyperboloids etc.). A variety of new exact reconstructions is described in this paper for integral transforms of Funk–Radon type on smooth hypersurfaces Xn properly embedded in space Rn+1 which is endowed with an additional structure.

中文翻译:

从非解析流形上的积分重建

已知的 Funk-Radon 类型的积分变换应用于具有代数结构(平面、球体、椭圆体、双曲面等)的流形。本文描述了各种新的精确重建,用于平滑超曲面上的 Funk-Radon 类型的积分变换Xn正确嵌入空间Rn+1它被赋予了额外的结构。
更新日期:2020-11-02
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