On cyclicity in de Branges-Rovnyak spaces
We study the problem of characterizing the cyclic vec-tors in de Branges-Rovnyak spaces. Based on a description of theinvariant subspaces we show that the difficulty lies entirely in un-derstanding the subspace (aH2)⊥ and give a complete function the-oretic description of the cyclic vectors in the case dim(aH2)⊥ < ∞.Incidentally, this implies analogous results for certain generalizedDirichlet spac