3 problems

Let $1<p,q<\infty$ satisfy … For $f\in L^2(\mathbb R)$, let $\mathcal G(f,1,1)$ denote the associated Gabor system, and let $H^s(\mathbb R)$ be the usual $L^2$-Sobolev space. Bened…

A discrete Gabor system is a time-frequency collection of functions generated from a window function over a discrete time-frequency lattice. Lammers–Stampe's conjecture. Finite ver…

Let $g\in L^2(\mathbb{R}^d)$, and let $\mathcal{R},\mathcal{L}\subset\mathbb{R}^d$ be measurable sets of finite measure. Define … where $\alpha(S)$ is the mean width … with $dv_d$…