Gowers U^2 norm

GPTKB entity

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo functions on finite abelian groups
gptkbp:field additive combinatorics
gptkbp:generalizes Fourier uniformity
https://www.w3.org/2000/01/rdf-schema#label Gowers U^2 norm
gptkbp:introduced gptkb:Timothy_Gowers
gptkbp:notation ||f||_{U^2}
gptkbp:property U^2 norm is equivalent to L^4 norm of Fourier coefficients
gptkbp:relatedTo gptkb:Gowers_norms
Fourier analysis
gptkbp:usedFor measuring uniformity of functions
gptkbp:usedIn gptkb:Szemerédi's_theorem
gptkbp:bfsParent gptkb:Gowers_U^k_norm
gptkbp:bfsLayer 7