Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Formal asymptotic expansion of the Faddeev-Green function in unbounded
  domains   We consider the Faddeev-Green function in the three-dimensional space and in
a slab, and we construct formal asymptotic expansions for the large complex
parameter appearing in this function. The basic idea of the construction is to
express the Faddeev-Green function through the standard exponential integral
and to use the standard asymptotic expansion of this special function. In the
three-dimensional space, the constructed expansion of the Faddeev-Green
function clearly suggests the form of the rigorous estimate proved by Sylvester
and Uhlmann. and which is the basis of complex-geometric optics' techniques in
inverse problems. A similar estimate is suggested for the slab case

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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys