论文标题
在算术约束下，圆圈上的尖锐傅立叶延伸
Sharp Fourier Extension on the Circle Under Arithmetic Constraints
论文作者
论文摘要
我们在圆圈上为圆形端点限制定理建立了尖锐的傅立叶限制不等式，该定理是在给定函数的傅立叶系数的一定算术限制下。这种算术约束是$ b_3 $ set的概括。
We establish a sharp adjoint Fourier restriction inequality for the end-point Tomas-Stein restriction theorem on the circle under a certain arithmetic constraint on the support set of the Fourier coefficients of the given function. Such arithmetic constraint is a generalization of a $B_3$-set.
