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 $n$-entire class, which was defined in our previous work, for some $n$. 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.

22 pages, no figures. Typographical errors corrected. References added. The proof of Theorem 4.2 has been modified

References in corpus (3)

• On the Singular Weyl-Titchmarsh Function of Perturbed Spherical Schroedinger Operators
• Inverse Eigenvalue Problems for Perturbed Spherical Schroedinger Operators
• Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra