期刊论文详细信息
Canadian mathematical bulletin | |
On Convolutions of Convex Sets and Related Problems | |
Tomasz Schoen1  | |
[1] Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland | |
关键词: convex sets; additive energy; sumsets; | |
DOI : 10.4153/CMB-2013-041-8 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
We prove some results concerning covolutions, theadditive energy and sumsets of convex sets and its generalizations. Inparticular, we show that if a set $A={a_1,dots,a_n}_lt subseteq mathbb R$ hasthe property that for every fixed $1leqslant dlt n,$ all differences $a_i-a_{i-d}$, $dlt ilt n,$ are distinct, then$|A+A|gg |A|^{3/2+c}$ for a constant $cgt 0.$
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050577064ZK.pdf | 17KB | download |