Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction from the Fourier transform on the ball via prolate
  spheroidal wave functions   We give new formulas for finding a compactly supported function $v$ on
$\mathbb{R}^d$, $d\geq 1$, from its Fourier transform $\mathcal{F} v$ given
within the ball $B_r$. For the one-dimensional case, these formulas are based
on the theory of prolate spheroidal wave functions (PSWFs). In multidimensions,
well-known results of the Radon transform theory reduce the problem to the
one-dimensional case. Related results on stability and convergence rates are
also given.

1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol