Integral geometry for the 1-norm

Details Integral geometry for the 1-norm Integral geometry for the 1-norm

2010-12-29

arxiv.org/abs/1012.5881v3

Mathematics

Metric Geometry

17 pages. Version 3: minor clarifications. This version will appear in Advances in Applied Mathematics

Scientific paper

Classical integral geometry takes place in Euclidean space, but one can attempt to imitate it in any other metric space. In particular, one can attempt this in R^n equipped with the metric derived from the p-norm. This has, in effect, been investigated intensively for 1

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