On the Simplest Inverse Problem for Sums of Sets in Several Dimensions |
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| Authors: | Yonutz Stanchescu |
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| Institution: | (1) School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University; Ramat Aviv, Israel 69978; E-mail: ionut@math.tau.ac.il, IL |
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| Abstract: | d -dimensional sets having the smallest cardinality of the sum set. Let be a finite d-dimensional set such that . If , then K consists of d parallel arithmetic progressions with the same common difference. We also establish the structure of K in the remaining cases .
Received: February 5, 1996/Revised: November 20, 1997 |
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| Keywords: | AMS Subject Classification (1991) Classes: 11B13 11P99 52C99 |
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