Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability estimates for reconstruction from the Fourier transform on the
  ball   We prove H\"{o}lder-logarithmic stability estimates for the problem of
finding an integrable function $v$ on $\mathbb{R}^d$ with a super-exponential
decay at infinity from its Fourier transform $\mathcal{F} v$ given on the ball
$B_r$. These estimates arise from a H\"{o}lder-stable extrapolation of
$\mathcal{F} v$ from $B_r$ to a larger ball. We also present instability
examples showing an optimality of our results.

35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol