136 citations · 534 across the 27 of their papers we have counts for
6 papers · 1 filter
Extending linear and quadratic functions from high rank varieties
David Kazhdan, Tamar Ziegler
Let be a field, be a -vector space and an algebraic irreducible subvariety. We say that a function is weakly linear if its restriction to any…
Polynomial functions as splines
David Kazhdan, Tamar Ziegler
Let be a vector space over a finite field . We give a condition on a subset that allows for a local criterion for checking when a function is a res…
Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors
Terence Tao, Tamar Ziegler
We establish a number of "concatenation theorems" that assert, roughly speaking, that if a function exhibits "polynomial" (or "Gowers anti-uniform", "uniformly almost periodic", or…
The inverse conjecture for the Gowers norm over finite fields in low characteristic
Terence Tao, Tamar Ziegler
We establish the \emph{inverse conjecture for the Gowers norm over finite fields}, which asserts (roughly speaking) that if a bounded function $f: V \to \C$ on a finite-dimensional…
An inverse theorem for the Gowers U^{s+1}[N]-norm
Ben Green, Terence Tao, Tamar Ziegler
We prove the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s >= 3; this is new for s > 3, and the cases s<3 have also been previously established. More precisely, we es…
The inverse conjecture for the Gowers norm over finite fields via the correspondence principle
Terence Tao, Tamar Ziegler
The inverse conjecture for the Gowers norms for finite-dimensional vector spaces over a finite field $\F$ asserts, roughly speaking, that a bounded function has la…