论文标题

频率分裂和空间定位的不兼容:对Hegerfeldt定理的定量分析

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

论文作者

Finster, Felix, Paganini, Claudio F.

论文摘要

我们证明了以下语句的定量版本:如果1+1维波方程的解具有空间紧凑的支持,并且主要由正频率组成,则它必须具有重要的高频组件。对于3+1维波方程式证明了类似的结果。

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.

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