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

We prove quantitative versions of the following statement: If a solution of the [Formula: see text] -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 [Form...

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Detalles Bibliográficos
Autores principales: Finster, Felix, Paganini, Claudio F.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9928833/
https://www.ncbi.nlm.nih.gov/pubmed/36817968
http://dx.doi.org/10.1007/s00023-022-01215-8
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author Finster, Felix
Paganini, Claudio F.
author_facet Finster, Felix
Paganini, Claudio F.
author_sort Finster, Felix
collection PubMed
description We prove quantitative versions of the following statement: If a solution of the [Formula: see text] -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 [Formula: see text] -dimensional wave equation.
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spelling pubmed-99288332023-02-16 Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem Finster, Felix Paganini, Claudio F. Ann Henri Poincare Original Paper We prove quantitative versions of the following statement: If a solution of the [Formula: see text] -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 [Formula: see text] -dimensional wave equation. Springer International Publishing 2022-09-16 2023 /pmc/articles/PMC9928833/ /pubmed/36817968 http://dx.doi.org/10.1007/s00023-022-01215-8 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Finster, Felix
Paganini, Claudio F.
Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem
title Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem
title_full Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem
title_fullStr Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem
title_full_unstemmed Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem
title_short Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt’s Theorem
title_sort incompatibility of frequency splitting and spatial localization: a quantitative analysis of hegerfeldt’s theorem
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9928833/
https://www.ncbi.nlm.nih.gov/pubmed/36817968
http://dx.doi.org/10.1007/s00023-022-01215-8
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