On an analytic generalization of the Busemann-Petty problem

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Abstract

In this paper, we establish an extension of the connections between an analytic generalization of the Busemann-Petty problem and the positive definite distributions. Our results show that the structure of the positive definite distributions in Rnis closely related to the analytic generalization of the Busemann-Petty problem which was posed by Koldobsky. © 2007 Elsevier Inc. All rights reserved.

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Lv, S. (2008). On an analytic generalization of the Busemann-Petty problem. Journal of Mathematical Analysis and Applications, 341(2), 1438–1444. https://doi.org/10.1016/j.jmaa.2007.11.053

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