Description

Book Synopsis
We study a class of measure-theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host Kra seminorms. Our main result yields a complete structural description of cubic couplings, using nilspaces. We give three applications.

Nilspace Factors for General Uniformity Seminorms

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    A Paperback by Pablo Candela, Balazs Szegedy

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 7/31/2023 12:00:00 AM
      ISBN13: 9781470465483, 978-1470465483
      ISBN10: 1470465485

      Description

      Book Synopsis
      We study a class of measure-theoretic objects that we call cubic couplings, on which there is a common generalization of the Gowers norms and the Host Kra seminorms. Our main result yields a complete structural description of cubic couplings, using nilspaces. We give three applications.

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