Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
1.1 MATHEMATICS
Abstract
We investigate the singular Weyl–Titchmarsh m-function of perturbed spherical Schrödinger operators (also known as Bessel operators) under the assumption that the perturbation q(x) satisfies xq(x) ∈ L1(0, 1). We show existence plus detailed properties of a fundamental system of solutions which are entire with respect to the energy parameter. Based on this we show that the singular mfunction belongs to the generalized Nevanlinna class and connect our results with the theory of super singular perturbations.
DOI
https://doi.org/10.1016/j.jde.2010.10.026
Recommended Citation
Kostenko, A., Teschl, G. (2011). On The Singular Weyl-Titchmarsh Function Of Perturbed Spherical Schrödinger Operators. Journal of differential equations, 250 (2011) 3701–3739. doi:10.1016/j.jde.2010.10.026
Publication Details
Journal of differential equations, 250 (2011) 3701–3739. [open access publication]
https://www.sciencedirect.com/journal/journal-of-differential-equations