New Inversion Formulas for the Horospherical Transform

被引：0
作者：
Boris Rubin
机构：
[1] Louisiana State University,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2017年 / 27卷
关键词：
Real hyperbolic space; Horospherical transform; Radon transform; Inversion formulas; Spaces; 44A12; 44A15; 51M10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The following two inversion methods for totally geodesic Radon transforms on constant curvature spaces are well known in integral geometry. The first method employs mean value operators in accordance with the classical Funk–Radon–Helgason scheme. The second one relies on the properties of potentials that can be inverted by polynomials of the Beltrami–Laplace operator. Using tools of harmonic analysis, we show that both methods are also applicable to the horospherical transform on the real hyperbolic space.
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页码：908 / 946
页数：38
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