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

Instantáneas de la actualidad matemática desde 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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Área matemática

Análisis

Autor(es)

Giuseppe Negro, Diogo Oliveira e Silva

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2023-006-EN

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snapshot-2023-006.pdf

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