6 problems

Let $N$ observations of a signal be collected from the model, with each observation sampled at $L$ equally spaced locations; let $M$ denote the number of grid points and let…

Let $C_4$ be the smallest constant such that … for the function class specified in Theorem 4 of the source. The compactly supported formulation concerns functions…

For $g\in L^1(\mathbb{R})$ with $g\geq 0$ and compact $I\subset\mathbb{R}$, let $\mathcal{L}_g(I)$ be the class of nonnegative $L^1$ functions $f$ on $\mathbb{R}$ such that…

For a binary sequence $X$ of length $n$, write $PComS(n,q,c)$ for the family used in the paper, and let a perfect binary sequence have two-level nontrivial autocorrelation with val…

Schmidt's conjecture. There do not exist perfect binary sequences with

Lin's conjecture. The sequence $S$ has ideal two-level autocorrelation; that is, if its period is $N$, then