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

Snapshots of modern mathematics from 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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Mathematical subjects

Analysis

Author(s)

Giuseppe Negro, Diogo Oliveira e Silva

License

DOI (Digital Object Identifier)

10.14760/SNAP-2023-006-EN

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snapshot-2023-006.pdf

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