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Subsets of Euclidean Space with Nearly Maximal Gowers Norms |
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| Authors: | Michael Christ |
| Institution: | Department of Mathematics, University of California, Berkeley, CA 94720-3840, USA |
| Abstract: | A set E ⊂ ℝd whose indicator function 1E has maximal Gowers norm, among all sets of equal measure, is an ellipsoid up to Lebesgue null sets. If 1E has nearly maximal Gowers norm then E... |
| Keywords: | Symmetrization Gowers norms maximizers |
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