论文标题
欧几里得傅里叶分析方法在海森伯格组中垂直投影
A Euclidean Fourier-analytic approach to vertical projections in the Heisenberg group
论文作者
论文摘要
改进的A.E.关于Carnot-Carthéodory公制，在第一个海森伯格组的垂直投影下，在垂直投影下给出了豪斯多夫尺寸的下限。这改善了已知的下限，并回答了Fässler和Hovila的问题。该方法使用欧几里得傅里叶变换，贝塞特的积分公式以及第二种修改的贝塞尔函数。
An improved a.e. lower bound is given for Hausdorff dimension under vertical projections in the first Heisenberg group, with respect to the Carnot-Carathéodory metric. This improves the known lower bound, and answers a question of Fässler and Hovila. The approach uses the Euclidean Fourier transform, Basset's integral formula, and modified Bessel functions of the second kind.
