Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sufficient conditions for absolute convergence of multiple Fourier
  integrals   Various new sufficient conditions for representation of a function of several
variables as an absolutely convergent Fourier integral are obtained in the
paper. The results are given in terms of $L^p$ integrability of the function
and its partial derivatives, each with the corresponding $p$. These $p$ are
subject to certain relations known earlier only for some particular cases.
Sharpness and applications of the obtained results are also discussed.

37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga