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math.CA2024
Semiclassical measure of the spherical harmonics by Bourgain on
Xiaolong Han
Bourgain used the Rudin-Shapiro sequences to construct a basis of uniformly bounded holomorphic functions on the unit sphere in . They are also spherical harmonics (i…
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…