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The Gowers uniformity norms kfkUk(G) of a function f : G → C on a finite additive group G, together with the slight variant kfkUk([N]) defined for functions on a discrete interval [N] := {1, . . . ,N}...
Given a right eigenvector x and a left eigenvector y associated with the same eigen-
value of a matrix A, there is a Hermitian positive definite matrix H for which y = Hx. The matrix H defines an inn...