On reconstructive sets of vertices in the Boolean cube |
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Authors: | A. Yu. Vasil’eva |
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Affiliation: | 1.Sobolev Institute of Mathematics,Novosibirsk,Russia |
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Abstract: | The notion of reconstructive set is introduced in terms of the Fourier transform. We characterize the reconstructive linear subspaces and give some necessary and sufficient conditions for the reconstructiveness of a sphere. We also give a necessary condition for two concentric spheres to be reconstructive. |
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