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Published in 2017 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2016.09.011
Abstract: 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 sufficient to characterize this transform.
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Keywords:
laplace transforms;
transforms valuations;