2021/09/28 by Rupert L. Frank, Frank, Rupert L.
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.CA #math.FA #math.MP
paper · pdf · doi:10.48550/arxiv.2109.13660
18 pages; submitted to the proceedings of ICM 2022
arxiv created 2021/09/28 · openalex publication_date 2021/09/28 · arxiv updated 2021/09/29 · openalex created_date 2023/12/16 · openalex updated_date 2026/07/28
We review recent results on functional inequalities for systems of orthonormal functions. The key finding is that for various operators the orthonormality leads to a gain over a simple application of the triangle inequality. The operators under consideration are either related to Sobolev type inequalities or to Fourier restriction type inequalities.