A Measure With Small Support and p -Summable Fourier Transform
Abstract
Abstract We construct a probability measure $\mu $ supported on a set of zero $2d/p$-Hausdorff measure such that $\hat{\mu }\in L_{p}(\mathbb{R}^{d})$.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical Analysis and Transform Methods
advanced mathematical theories
Publication details
- Journal / source
- International Mathematics Research Notices
- Volume
- 2026
- Issue
- 2
- Publication date
- 1 January 2026
- Language
- EN