Laplace transforms and valuations

Jin Li Shanghai University Dan Ma Technische Universitat Wien & Shanghai Normal University

Convex and Discrete Geometry mathscidoc:1703.40001

Journal of Functional Analysis, 272, (2), 738-758, 2017.1
It is proved that the classical Laplace transform is a continuous valuation which is positively GL(n) covariant and logarithmic translation covariant. Conversely, these properties turn out to be sucient to characterize this transform.
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@inproceedings{jin2017laplace,
  title={Laplace transforms and valuations},
  author={Jin Li, and Dan Ma},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170301184358454245578},
  booktitle={Journal of Functional Analysis},
  volume={272},
  number={2},
  pages={738-758},
  year={2017},
}
Jin Li, and Dan Ma. Laplace transforms and valuations. 2017. Vol. 272. In Journal of Functional Analysis. pp.738-758. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170301184358454245578.
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