4 = 2 × 2, or the power of even integers in Fourier analysis

Instantanés de recherche mathématique à Oberwolfach

4 = 2 × 2, or the power of even integers in Fourier analysis

We describe how simple observations related to vectors of length 1 recently led to the proof of an important mathematical fact: the sharp Stein–Tomas inequality from Fourier restriction theory, a pillar of modern harmonic analysis with surprising applications to number theory and geometric measure theory.

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Sujet mathématique

Analyse

Auteur(s)

Giuseppe Negro, Diogo Oliveira e Silva

Licence

DOI

10.14760/SNAP-2023-006-EN

Télécharger PDF

snapshot-2023-006.pdf

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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