Work

Fourier analytic variants of the Furstenberg and Kakeya problems

Year: 2026

Type: preprint

Abstract: We study several distinct but related Fourier analytic variants of the well-known Kakeya and Furstenberg set problems in the plane. For example, given $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.21668

Authors: Fraser, Jonathan M., Yang, Lijian

Institution: University of St Andrews

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Leverhulme Trust, Engineering and Physical Sciences Research Council

Awards: G2667714894, G5439164292, G7545288643, G8074978851

OpenAlex ID: W7162091544

Cites: 6

Cited by:

Related to: 10