Some geometric and spectral aspects of restriction problems

Hajer Bahouri; Veronique Fischer

Some geometric and spectral aspects of restriction problems

Hajer Bahouri, Veronique Fischer

Department of Mathematical Sciences

Sorbonne Université

Research output: Working paper / Preprint › Preprint

96 Downloads (Pure)

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.

Original language	Undefined/Unknown
Publisher	arXiv
Publication status	Published - 30 Jun 2025

Bibliographical note

37 pages, to appear in a volume to commemorate the memory of Haim Brezis, also published on HAL https://hal.science/hal-05127012v1/document

Keywords

math.CA
math.AP
43A30, 43A80, 53C17, 30C40

Access to Document

2507.00204v1

Cite this

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AB - 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.

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