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arXiv · 2507.00204

Some geometric and spectral aspects of restriction problems

Hajer Bahouri·Veronique Fischer
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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.

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Hajer Bahouri, Veronique Fischer. 2025-06-30. Some geometric and spectral aspects of restriction problems. https://doi.org/10.1142/s0219199726400043

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