Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral measure of Laplacean operators in Paley-Wiener space   We are interested in computing the spectral measure of Laplacean operators in
Paley-Wiener space, the Hilbert space of all square integrable functions having
Fourier transforms supported in a compact set $K$, the closure of an open
bounded set in $\R^N$. I is well-known that every differential operator is
bounded in this space. Among others, we will prove that the spectrum of Laplace
operator is the set $$\{-|x|^2: x\in K\}.$$

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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: physics