Reconstructing currents from their projections

2025/03/10 by Backus, Aidan
#44A12 #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.07573

Abstract

We prove an inversion formula for the exterior k-plane transform. As a consequence, we show that if m < k then an m-current in \mathbf Rⁿ can be reconstructed from its projections onto \mathbf R^k, which proves a conjecture of Solomon.

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