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Simultaneous Bisections of Measures by Orthogonal Hyperplanes
Simultaneous Bisections Orthogonal Hyperplanes
2010/11/15
Given [n/d] finite Borel measures on R^n, d = 1, 2, 4, or 8, it is shown that there exist d mutually orthogonal hyperplanes which bisect each measure, corresponding to the classical algebras R, C, H,...