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一类广义Busemann-Petty问题的稳定性

The Stability of a Class of Generalized Busemann-Petty Problem
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摘要 主要确立了广义Busemann-Petty问题的稳定性;结果涉及了维数限制上的广义Busemann-Petty问题的稳定性以及与广义截面体类结构相关联的Busemann-Petty问题的稳定性;细化并蕴含了Koldobsky和马丹所给出的广义Busemann-Petty问题的稳定性结果,且为进一步深化相关的研究提供了启示. This paper mainly discusses the stability of generalized Busemann-Petty problem, its results involving in the stability of generalized Busemann-Petty problem on dimension-restriction and the stability of Busemann-Petty problem related to generalized-intersection-like structure. The results in this paper more detailedly segments and contains the stability results of generalized Busemann-Petty problem given by Koldobsky and Ma Dan, providing the enlightenment for deepening the related researches.
作者 冯伟
出处 《重庆工商大学学报(自然科学版)》 2014年第11期33-34,44,共3页 Journal of Chongqing Technology and Business University:Natural Science Edition
关键词 稳定性 广义Busemann-Petty问题 对偶混合体积 i维拉登变换 stability generalized Busemann-Petty problem dual mixed volume i-dimensionalRadon transform
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参考文献13

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