Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems
B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).
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Hinrichs, BenjaminLibreCat 
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Polzer, Steffen
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Polzer, SteffenAbstract
We study the behavior of a probability measure near the bottom of its support in terms of time averaged quotients of its Laplace transform. We discuss how our results are connected to both rank-one perturbation theory as well as renewal theory. We further apply our results in order to derive criteria for the existence and non-existence of ground states for a finite dimensional quantum system coupled to a bosonic field.
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arXiv:2511.02867
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Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. arXiv:251102867. Published online 2025.
Hinrichs, B., & Polzer, S. (2025). Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems. In arXiv:2511.02867.
@article{Hinrichs_Polzer_2025, title={Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems}, journal={arXiv:2511.02867}, author={Hinrichs, Benjamin and Polzer, Steffen}, year={2025} }
Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” ArXiv:2511.02867, 2025.
B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems,” arXiv:2511.02867. 2025.
Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace Transform. With Applications to Ground State Problems.” ArXiv:2511.02867, 2025.
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