Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On regularization of formal Fourier--Wiener transform of the
  self-intersection local time of planar Gaussian process   Fourier-Wiener transform of the formal expression for multiple
self-intersection local time is described in terms of the integral, which is
divergent on the diagonals. The method of regularization we use in this work
related to regularization of functions with non-integrable singularities. The
strong local nondeterminism property, which is more restrictive than the
property of local nondeterminism introduced by S.Berman is considered. Its
geometrical meaning in the construction of the regularization is investigated.
As the example the problem of regularization is solved for the compact
perturbation of the planar Wiener process.

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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: chem-ph