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An Isomorphic Version of the Busemann-Petty Problem for Gaussian Measure

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1850))

Abstract

In this paper we provide upper and lower bounds for the Gaussian Measure of a hyperplane section of a convex symmetric body. We use those estimates to give a partial answer to an isomorphic version of the Gaussian Busemann-Petty problem.

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Correspondence to A. Zvavitch .

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© 2004 Springer-Verlag Berlin/Heidelberg

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Zvavitch, A. (2004). An Isomorphic Version of the Busemann-Petty Problem for Gaussian Measure. In: Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44489-3_21

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  • DOI: https://doi.org/10.1007/978-3-540-44489-3_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22360-3

  • Online ISBN: 978-3-540-44489-3

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