A Class of {n}-Entire Schrödinger operators

Abstract

We study singular Schrödinger operators on a finite interval as selfadjoint extensions of a symmetric operator. We give sufficient conditions for the symmetric operator to be in the nn-entire class, which was defined in our previous work (Silva and Toloza in J Phys A Math Theor 46:025202, 2013) for some nn. As a consequence of this classification, we obtain a detailed spectral characterization for a wide class of radial Schrödinger operators. The results given here make use of de Branges Hilbert space techniques.