Singular integrals, rank one perturbations and Clark model in general situation

Constanze Liaw, Sergei Treil

We start with considering rank one self-adjoint perturbations $A_{\alpha }=A+\alpha (\cdot ,\phi )\phi$ with cyclic vector $\phi \in \mathcal{H}$ on a separable Hilbert space $\mathcal{H}$. The spectral…