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math.CA2025
Fourier frames on smooth surfaces with nonvanishing Gaussian curvature
Xinyu Chen, Bochen Liu
It is known that a small spherical cap (rigorously its surface measure) admits Fourier frames, while the whole sphere does not. In this paper, we prove more general results. Conseq…
math.CA2025
Fourier Frames on Salem Measures
Longhui Li, Bochen Liu
For every we construct -dimensional Salem measures in the unit interval that do not admit any Fourier frame. Our examples are generic for each , including all exi…