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Restricted Families of Projections and Random Subspaces
We study the restricted families of orthogonal projections in R 3 .We show that there are families of random subspaces which admit Marstrand-Mattila type projection theorem.In 1954 J. Marstand [11] proved this projection theorem in the plane.In 1975 P. Mattila [12] proved this for general dimension via 1968 R. Kaufman's …