Reconstruction of Crofton Measures from Projective Finsler Metrics in R3

Details Reconstruction of Crofton Measures from Projective Finsler Metrics in R3 Reconstruction of Crofton Measures from Projective Finsler Metrics in R3

2011-03-21

arxiv.org/abs/1103.4088v1

Mathematics

Metric Geometry

9 pages, 0 figures

Scientific paper

A solution of Hilberts fourth problem lead to integral equation of the type
generalized cosine transform. The present paper considers the solution that
integral equation by integral geometry methods and propose an inversion formula
for reconstruction of Crofton measures from projective smooth Finsler metrics
in R3.

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