3 problems

Let $F$ be the scattering data and let $a(x)$ denote the upper-left entry of the associated matrix $G$ as a function of the parameter $k$, with $x$ ranging over the spatial variabl…

Let $F$ be the scattering data and let $a(x)$ denote the upper-left entry of the associated matrix $G$ as a function of the parameter $k$, with $x$ ranging over the spatial variabl…

Let $f\in \mathrm{L}^p(\mathbb{R})$ and let $a(\xi)$ be the coefficient associated with the scattering transform of $f$, as above. Let $p$ and $q$ be conjugated exponents with…