Some geometric and spectral aspects of restriction problems
Classical Analysis and ODEs
2026-03-02 v2 Analysis of PDEs
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.
Cite
@article{arxiv.2507.00204,
title = {Some geometric and spectral aspects of restriction problems},
author = {Hajer Bahouri and Veronique Fischer},
journal= {arXiv preprint arXiv:2507.00204},
year = {2026}
}
Comments
appearing in a CCM volume to commemorate the memory of Haim Brezis, also published on HAL