$\rm{SL}(n)$ covariant function-valued valuations
Metric Geometry
2021-12-21 v1 Functional Analysis
Abstract
Classifications of covariant function-valued valuations are established with some assumptions of continuity. New valuations, for example, weighted moment functions, are introduced and our classifications give unified characterizations of the Laplace transform on convex bodies, moment bodies, difference bodies, and polar moment bodies ( intersection bodies). Using the new classifications, we also establish some Euler-type relations.
Keywords
Cite
@article{arxiv.2112.10579,
title = {$\rm{SL}(n)$ covariant function-valued valuations},
author = {Jin Li},
journal= {arXiv preprint arXiv:2112.10579},
year = {2021}
}