Estimates of eigenvalues of Schrödinger operators on the half-line with complex-valued potentials

Estimates for eigenvalues of Schrödinger operators on the half-line with complex-valued potentials are established. Schrödinger operators with potentials belonging to weak Lebesque's classes are also considered. The results cover those known previously due to R. L. Frank, A. Laptev and R. Seiri...

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Bibliographic Details
Main Author: Enblom, Alexandra
Format: Report
Language:unknown
Published: arXiv 2015
Subjects:
Online Access:https://dx.doi.org/10.48550/arxiv.1503.06338
https://arxiv.org/abs/1503.06338
Description
Summary:Estimates for eigenvalues of Schrödinger operators on the half-line with complex-valued potentials are established. Schrödinger operators with potentials belonging to weak Lebesque's classes are also considered. The results cover those known previously due to R. L. Frank, A. Laptev and R. Seiringer [In spectral theory and analysis, vol. 214, Oper. Theory Adv. Appl., pag. 39-44; Birkhäuser/Springer Basel.]