Chains of reproducing kernel Hilbert spaces generated by unimodular functions
arXiv:2012.11121 · doi:10.5802/aif.3705
Abstract
We present a method to construct a chain of reproducing kernel Hilbert spaces controlled by a first-order system of differential equations from a given unimodular function satisfying several conditions. One of the applications of that method is a conditional but richly general solution to the inverse problem of recovering the structure Hamiltonian from a given de Branges space.
31 pages, 0 figures. To appear in Annales de l'Institut Fourier