Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Oscillation of Fourier Integrals with a spectral gap   Suppose that Fourier transform of a function f is zero on the interval
[-a,a]. We prove that the lower density of sign changes of f is at least a/pi,
provided that f is a locally integrable temperate distribution in the sense of
Beurling, with non-quasianalytic weight. We construct an example showing that
the last condition cannot be omitted.

28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: patt-sol