Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Fourier transform of the characteristic functions of domains with
  $C^1$ -smooth boundary   We consider domains $D\subseteq\mathbb R^n$ with $C^1$ -smooth boundary and
study the following question: when the Fourier transform $\hat{1_D}$ of the
characteristic function $1_D$ belongs to $L^p(\mathbb R^n)$?

1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph