Boundary Control method and De Branges spaces. Schrödinger equation, Dirac system and Discrete Schrödinger operator
  In the framework of the application of the Boundary Control method to solving
the inverse dynamical problems for the one-dimensional Schrödinger and Dirac
operators on the half-line and semi-infinite discrete Schrödinger operator,
we establish the connections with the method of De Branges: for each of the
system we construct the De Branges space and give a natural dynamical
interpretation of all its ingredients: the set of function the De Brange space
consists of, the scalar product, the reproducing kernel.
