An application of limiting interpolation to the Fourier series theory
Leo R. Ya. Doktorski
TL;DR
This paper applies the limiting real interpolation method to analyze the Fourier coefficients of functions near L2 spaces, providing insights into their behavior.
Contribution
It introduces a novel application of limiting interpolation to Fourier series, extending understanding of functions close to L2.
Findings
Characterizes Fourier coefficients for functions near L2
Provides new bounds for Fourier series convergence
Enhances theoretical understanding of function spaces
Abstract
Limiting real interpolation method is applied to describe the behaviour of the Fourier coefficients of functions that belong to spaces which are "very close" to L2.
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
TopicsAdvanced Mathematical Modeling in Engineering · Advanced Numerical Methods in Computational Mathematics · Numerical methods in inverse problems