Multilinear generalized Radon transforms and point configurations
Multilinear generalized Radon transforms and point configurations
Abstract We study multilinear generalized Radon transforms using a graph-theoretic paradigm that includes the widely studied linear case. These provide a general mechanism to study Falconer-type problems involving ( k +1)-point configurations in geometric measure theory, with k ≥ 2, including the distribution of simplices, volumes and angles determined by …