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Volume inequalities for complex isotropic measures

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Abstract

A new notion of complex isotropic measures is introduced and volume inequalities for their \(L_p\)-cosine and their sine transform are established.

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Acknowledgments

The authors are indebted to the referee for the valuable suggestions and the very careful reading of the original manuscript. Supported in part by the National Natural Science Foundation of China (Grant No. 11371239), Shanghai Leading Academic Discipline Project (Project Number: J50101) and the Research Fund for the Doctoral Programs of Higher Education of China (20123108110001).

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Correspondence to Qingzhong Huang.

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Huang, Q., He, B. Volume inequalities for complex isotropic measures. Geom Dedicata 177, 401–428 (2015). https://doi.org/10.1007/s10711-014-9996-9

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  • DOI: https://doi.org/10.1007/s10711-014-9996-9

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