Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functions on finite abelian groups
|
| gptkbp:field |
additive combinatorics
|
| gptkbp:generalizes |
gptkb:Gowers_U^2_norm
|
| gptkbp:heldBy |
non-negative real number
zero if and only if function is totally uniform of order k-1 norm for k ≥ 2 |
| https://www.w3.org/2000/01/rdf-schema#label |
Gowers U^k norm
|
| gptkbp:introducedIn |
2001
|
| gptkbp:measures |
uniformity of functions
|
| gptkbp:namedAfter |
gptkb:Timothy_Gowers
|
| gptkbp:notation |
||f||_{U^k}
|
| gptkbp:relatedTo |
arithmetic progressions
|
| gptkbp:usedFor |
detect structure in functions
|
| gptkbp:usedIn |
gptkb:Szemerédi's_theorem
higher order Fourier analysis |
| gptkbp:bfsParent |
gptkb:Gowers_uniformity
|
| gptkbp:bfsLayer |
6
|