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An inverse theorem for all finite abelian groups via nilmanifolds
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
We prove a first inverse theorem for Gowers norms on all finite abelian groups that uses only nilmanifolds (rather than possibly more general nilspaces). This makes progress toward…
On measure-preserving -systems of order
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
Building on previous work in the nilspace-theoretic approach to the study of Host-Kra factors of measure-preserving systems, we prove that every ergodic -system of…
On higher-order Fourier analysis in characteristic
Pablo Candela, Diego González-Sánchez, Balázs Szegedy
In this paper, the nilspace approach to higher-order Fourier analysis is developed in the setting of vector spaces over a prime field , with applications mainly in er…