Some geometric and spectral aspects of restriction problems

Hajer Bahouri; Véronique Fischer

doi:10.1142/S0219199726400043

Some geometric and spectral aspects of restriction problems

Hajer Bahouri, Véronique Fischer

Department of Mathematical Sciences

Sorbonne Université

Research output: Contribution to journal › Article › peer-review

Abstract

This text commemorates the memory of Haïm 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.

Original language	English
Article number	2640004
Journal	Communications in Contemporary Mathematics
Volume	28
Issue number	5
Early online date	25 Mar 2026
DOIs	https://doi.org/10.1142/S0219199726400043
Publication status	E-pub ahead of print - 25 Mar 2026

Keywords

Fourier analysis
Restriction problems
spectral theory
subelliptic operators

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1142/S0219199726400043Licence: CC BY

Cite this

@article{de534d5d9b6b4cbeaba3e647b9ab3983,

title = "Some geometric and spectral aspects of restriction problems",

abstract = "This text commemorates the memory of Ha{\"i}m 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{\textquoteright} significant contributions to various domains related to this problem, including harmonic analysis, partial differential equations, spectral theory, representation theory, number theory, and many others.",

keywords = "Fourier analysis, Restriction problems, spectral theory, subelliptic operators",

author = "Hajer Bahouri and V{\'e}ronique Fischer",

year = "2026",

month = mar,

day = "25",

doi = "10.1142/S0219199726400043",

language = "English",

volume = "28",

journal = "Communications in Contemporary Mathematics",

issn = "0219-1997",

publisher = "World Scientific",

number = "5",

}

TY - JOUR

T1 - Some geometric and spectral aspects of restriction problems

AU - Bahouri, Hajer

AU - Fischer, Véronique

PY - 2026/3/25

Y1 - 2026/3/25

N2 - This text commemorates the memory of Haïm 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.

AB - This text commemorates the memory of Haïm 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.

KW - Fourier analysis

KW - Restriction problems

KW - spectral theory

KW - subelliptic operators

UR - https://www.scopus.com/pages/publications/105033884824

U2 - 10.1142/S0219199726400043

DO - 10.1142/S0219199726400043

M3 - Article

AN - SCOPUS:105033884824

SN - 0219-1997

VL - 28

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 5

M1 - 2640004

ER -

Some geometric and spectral aspects of restriction problems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this