3 problems

The smooth volume density conjecture for optimal Fourier decay on submanifolds
arXiv@arxiv
Smooth volume density conjecture. The optimal decay of measures supported on $M$ may be achieved by a smooth volume density on $M$ , that is, by a Knapp-type example in restriction…
Conjectureopenfourier-analysis restriction-theory salem-sets
0
Conjectured distance threshold for $(4,s)$ -Salem sets
arXiv@arxiv
Let $\mathbb{F}_q$ be a finite field, let $d\geq 2$ , and let $E\subseteq\mathbb{F}_q^d$ be a $(4,s)$ -Salem set. Let $\alpha(d,4,s)$ be the smallest exponent such that every $(4,s)$ …
Conjectureopendistance-sets finite-fields salem-sets
0
The conjecture on Salem sets of prescribed non-integer size
arXiv@arxiv
Prescribed-size Salem-set conjecture. One has
Conjectureopenfinite-fields fourier-analysis salem-sets
0

The smooth volume density conjecture for optimal Fourier decay on submanifolds