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The Brascamp-Lieb inequality and its influence on Fourier analysis

Brascamp-Lieb inequalities have been important in analysis, mathematical physics and neighboring areas. Recently, these inequalities have had a deep influence on Fourier analysis and, in particular, on Fourier restriction theory. In this article we motivate and explain this connection. A lot of our examples are taken from a rapidly developing subarea called "decoupling". It is the author's hope that this article will be accessible to graduate students in fields broadly related to analysis.

preprint2022arXivOpen access
Ruixiang Zhang
math.APmath-phmath.MPmath.CA
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Ruixiang Zhang

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