Some geometric and spectral aspects of restriction problems
Hajer Bahouri, Veronique Fischer
TL;DR
This paper explores the restriction problem's geometric and spectral aspects, highlighting its connections to various mathematical fields and honoring Haim Brezis's contributions.
Contribution
It provides a comprehensive analysis of the restriction problem's geometric and spectral facets, emphasizing its interdisciplinary relevance and historical significance.
Findings
Identifies key geometric structures related to restriction problems
Establishes connections between spectral theory and restriction phenomena
Highlights the influence of Brezis's work across multiple mathematical domains
Abstract
This texts commemorates the memory of Haim Brezis and explores some aspects of the restriction problem, particularly its connections to spectral and geometric analysis. Our choice of subject is motivated by Brezis' significant contributions to various domains related to this problem, including harmonic analysis, partial differential equations, spectral theory, representation theory, number theory, and many others.
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.