The A-function related to the Titchmarsh-Weyl m-function of Sturm-Liouville operators
We provide a new method to establish Simon's A -functions associated with the Titchmarsh-Weyl m -functions of Sturm-Liouville differential operators. This method is based on a connection with the kernel of transformation operators. We also obtain some properties of the A -functions on finite intervals, which yield a high-energy asymptotic representation of the Titchmarsh-Weyl m -function.
Authors
- Guangsheng Wei (ORCID: https://orcid.org/0000-0002-5697-8038)
- Xuewen Wu (ORCID: https://orcid.org/0000-0003-4547-3402)
Institutions
- Xi'an University of Architecture and Technology (CN)
- Shaanxi Normal University (CN)
Publication Details
- Journal
- Journal of Differential Equations
- Published
- 2025-08-20
- DOI
- https://doi.org/10.1016/j.jde.2025.113691
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Basic Research Program of Shaanxi Province