Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero Energy Scattering for One-Dimensional Schr\"odinger Operators and
  Applications to Dispersive Estimates   We show that for a one-dimensional Schr\"odinger operator with a potential
whose (j+1)'th moment is integrable the j'th derivative of the scattering
matrix is in the Wiener algebra of functions with integrable Fourier
transforms. We use this result to improve the known dispersive estimates with
integrable time decay for the one-dimensional Schr\"odinger equation in the
resonant case.

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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: stat