The l1-norm of the Fourier transform on compact vector spaces
Tom Sanders
Abstract
Suppose that A is a subset of F2n of density as close to 1/3 as possible. We show that the A(F2n)-norm (that is the sum of the absolute values of the Fourier transform) of the characterstic function of A is bounded below by an absolute constant times log n as n tends to infinity.
Create a lesson
Related papers
Optimal fractional discrete Hardy inequalities on the half-line
František Štampach, Jakub Waclawek
Capacitary-Distance Hardy Inequality
Yiqun Chen, Jie Xiao, Dachun Yang et al.
Microstructure evolution as a game
Michael Ortiz
Optimal differentiability of isotropic positive definite functions on even-dimensional spheres
Yan Ge
Bilinear Bochner--Riesz Means on the Complex Sphere
S. Bagchi, Md N. Molla, J. Singh et al.
Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions
Wentao Huang, Haizhang Zhang