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



Giuseppe Negro, Diogo Oliveira e Silva


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snapshots: overview

Mathematical subjects

Algebra and Number Theory
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Humanities and Social Sciences
Life Science
Reflections on Mathematics

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