从半截面确定星体的方法
On the Determination of Star Bodies from Their Half-Sections
摘要:
我们得到明确的反演公式的Radon样变换,分配给一个功能的单位球上的积分,该功能的半球躺在低维中心横截面。结果被应用到确定的恒星机构从其中央半部分的体积。
英文摘要:
We obtain explicit inversion formulas for the Radon-like transform that assigns to a function on the unit sphere the integrals of that function over hemispheres lying in lower dimensional central cross-sections. The results are applied to determination of star bodies from the volumes of their central half-sections.
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