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Journal Article

Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem

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Paganini,  Claudio
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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2005.10120.pdf
(Preprint), 513KB

s00023-022-01215-8.pdf
(Publisher version), 886KB

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Citation

Finster, F., & Paganini, C. (2022). Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem. Annales Henri Poincare, 2022. doi:10.1007/s00023-022-01215-8.


Cite as: https://hdl.handle.net/21.11116/0000-000B-2D1F-2
Abstract
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.