Chains of reproducing kernel Hilbert spaces generated by unimodular functions
Functional Analysis
2025-10-21 v2 Classical Analysis and ODEs
Number Theory
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.
Cite
@article{arxiv.2012.11121,
title = {Chains of reproducing kernel Hilbert spaces generated by unimodular functions},
author = {Masatoshi Suzuki},
journal= {arXiv preprint arXiv:2012.11121},
year = {2025}
}
Comments
31 pages, 0 figures. To appear in Annales de l'Institut Fourier