Topics in Fourier analysis
Stephen Semmes
TL;DR
This paper provides an overview of fundamental Fourier analysis concepts, focusing on fractal examples like infinite products of cyclic groups, p-adic numbers, and solenoids.
Contribution
It introduces Fourier analysis in the context of fractal structures and complex topological groups, highlighting their unique properties.
Findings
Exploration of Fourier analysis on fractal and p-adic structures
Insights into the harmonic analysis of solenoids and infinite products
Connections between Fourier analysis and fractal geometry
Abstract
An overview of some basic notions is given, especially with an eye towards somewhat "fractal" examples, such as infinite products of cyclic groups, p-adic numbers, and solenoids.
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
TopicsMatrix Theory and Algorithms