Fourier Frames on Salem Measures

2025/06/02 by Li, Longhui, Liu, Bochen · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2506.01280

Abstract

For every 0

Citations

• Sharpness of the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem in all dimensions
• Fourier restriction and well-approximable numbers
• On dimensions of frame spectral measures and their frame spectra
• Fourier frames for surface-carried measures
• Translational absolute continuity and Fourier frames on a sum of singular measures
• Spatially independent martingales, intersections, and applications
• Sets of Salem type and sharpness of the L²-Fourier restriction theorem

Cited by

• Fourier frames on smooth surfaces with nonvanishing Gaussian curvature

Related

• Frame measures for infinitely many measures
• Fourier bases and Fourier frames on self-affine measures
• Translational absolute continuity and Fourier frames on a sum of singular measures
• Singular Schaeffer-Salem measures of dynamical system origin
• Weighted Fourier Frames on Self-Affine Measures