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

오버불파크에서 찍은 현대수학의 면모

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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수학적 주제

해석학

저자

Giuseppe Negro, Diogo Oliveira e Silva

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2023-006-EN

PDF 다운로드

application/pdf

snapshot-2023-006.pdf

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수학적 주제

대수학/정수론

해석학

수학교육/교수법

이산수학/수학기초론

기하학/위상수학

수치해석/과학계산

확률론/통계학

다른 분야와의 연관성

화학 및 지구과학

컴퓨터 과학

공학

금융

인문/사회과학

생명 과학

물리학

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