Fourier dimension of the cone
Terence L. J. Harris
TL;DR
This paper proves that the Fourier dimension of the cone in +1-dimensional space is d-1, confirming a conjecture by Fraser and Kroon, and advancing understanding of geometric Fourier analysis.
Contribution
It establishes the Fourier dimension of the cone in +1 space as d-1, verifying a previously conjectured property.
Findings
Fourier dimension of the cone is d-1.
Verification of Fraser and Kroon's conjecture.
Advances in geometric Fourier analysis.
Abstract
It is shown that the cone in has Fourier dimension . This verifies a conjecture of Fraser and Kroon.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Topology and Set Theory · Algebraic Geometry and Number Theory