Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Tauberian Theorem for Laplace Transforms with Pseudofunction Boundary
  Behavior   The prime number theorem provided the chief impulse for complex Tauberian
theory, in which the boundary behavior of a transform in the complex plane
plays a crucial role. We consider Laplace transforms of bounded functions. Our
Tauberian theorem does not allow first-order poles on the imaginary axis, but
any milder singularities, characterized by pseudofunction boundary behavior,
are permissible. In this context we obtain a useful Tauberian theorem by
exploiting Newman's `contour method'.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex