On the Gowers U2 and U3 norms of Boolean functions and their restriction to hyperplanes
DISCRETE APPLIED MATHEMATICS(2023)
摘要
It is known that the smaller the values of Gowers U2 and U3 norms of a Boolean function, the greater its strength against linear and quadratic approximations. This article gives recursive relation between the Gowers U2 and U3 norms of Boolean functions and their restriction to hyperplanes. These results will help analyze the second and third-order Gowers norms of Boolean functions in a higher number of variables.
更多查看译文
关键词
Boolean function,Walsh–Hadamard transform,Nonlinearity,Gowers norm
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要