The logarithmic Minkowski problem

  • Böröczky K
  • Lutwak E
  • Yang D
  • et al.
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Abstract

In analogy with the classical Minkowski problem, necessary and sufficient conditions are given to assure that a given measure on the unit sphere is the cone-volume measure of the unit ball of a finite-dimensional Banach space. © 2012 American Mathematical Society.

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Böröczky, K. J., Lutwak, E., Yang, D., & Zhang, G. (2012). The logarithmic Minkowski problem. Journal of the American Mathematical Society, 26(3), 831–852. https://doi.org/10.1090/s0894-0347-2012-00741-3

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