Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential
Fulsche R. Nursultanov M. Rozenblum G.
February 2026Birkhauser
Annales Henri Poincare
2026#27Issue 2569 - 607 pp.
We investigate the negative part of the spectrum of the operator -∂2-μ on L2(R), where a locally finite Radon measure μ≥0 serves as a potential. We obtain estimates for the eigenvalue counting function, for individual eigenvalues and estimates of the Lieb–Thirring type. A crucial tool for our estimates is Otelbaev’s function, a certain average of the measure-potential μ, which is used both in the proofs and the formulation of most of the results.
Text of the article Перейти на текст статьи
Institut für Analysis, Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany
Department of Mathematics and Statistics, University of Helsinki, Helsinki, Finland
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Chalmers University of Technology, Gothenburg, Sweden
Institut für Analysis
Department of Mathematics and Statistics
Institute of Mathematics and Mathematical Modeling
Chalmers University of Technology
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026