Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 $1+1$-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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The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
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The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat