3 problems

Let $\eta=\{\eta_k\}_{k\geq1}$ and $\eta^{(1)}=\{\eta_k^{(1)}\}_{k\geq1}$ be the frequency collections associated with the comb domains describing the KdV flows. Comb-domain generi…

Let $\mathsf{E}$ be the spectral set, let $\mathcal{R}(\mathsf{E})$ denote the reflectionless potentials with spectrum $\mathsf{E}$, and let … be the divisor map. Let…

Higher-dimensional Borg conjecture. The following claims are equivalent: 1. The potential $V$ is constant. 2. There exists an entire function whose graph $\lambda=f(k)$ belongs to…