Abstract
In this study, we consider the Klein–Gordon s-wave equation defined on the half line under impulsive condition and construct the corresponding differential operator. We then introduce the transfer matrices associated with the impulsive Klein–Gordon s-wave operator on the half line and employ them to analyze the scattering function and its analytic structure through an alternative operator-theoretic method. This approach enables a new characterization of the scattering behavior and establishes connections between the analytic properties of the transfer matrices and the spectral features of the operator. In the final part of the study, we construct the resolvent operator and examine its analytic structure.
References
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Details
| Primary Language | English |
|---|---|
| Subjects | Operator Algebras and Functional Analysis |
| Journal Section | Research Article |
| Authors | |
| Submission Date | October 31, 2025 |
| Acceptance Date | January 13, 2026 |
| Early Pub Date | January 26, 2026 |
| Publication Date | January 26, 2026 |
| DOI | https://doi.org/10.31801/cfsuasmas.1814903 |
| IZ | https://izlik.org/JA88ZS35UU |
| Published in Issue | Year 2026 Issue: Advanced Online Publication |
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
