Finster, Felix and Paganini, Claudio F. (2023) Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt's Theorem. ANNALES HENRI POINCARE, 24 (2). pp. 413-467. ISSN 1424-0637, 1424-0661
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We prove quantitative versions of the following statement: If a solution of the 1 + 1-dimensional wave equation has spatially compact support and consists mainly of positive frequencies, then it must have a significant high-frequency component. Similar results are proven for the 3 + 1-dimensional wave equation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | UNIQUE CONTINUATION THEOREM; TRUNCATED HILBERT; CAUSALITY |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Felix Finster |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Feb 2024 10:49 |
| Last Modified: | 20 Feb 2024 10:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/57076 |
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