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math.CA2024
The semiclassical measure of certain spherical harmonics on S3
Xiaolong Han
Bourgain used the Rudin-Shapiro sequences to construct a basis of uniformly bounded holomorphic functions on the unit sphere in C2. They are also spherical harmonics (i.e., Laplaci…
math.CA2024
Fractal uncertainty principle for random Cantor sets
Xiaolong Han, Pouria Salekani
We continue our investigation of the fractal uncertainty principle (FUP) for random fractal sets. In the prequel (arXiv:2107.08276), we considered the Cantor sets in the discrete s…