2 problems

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…

Let $H_n$ and $\tilde{H}_n$ be completely isospectral reflectionless Hamiltonians in the special family $\mathcal{H}_n$, with $n=1,2,\ldots$, and let $X_n$ and $X_n^\dagger$ denote…