Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovering Functions Defined on $\Bbb S^{n - 1}$ by Integration on
  Subspheres Obtained from Hyperplanes Tangent to a Spheroid   The aim of this article is to introduce a method for recovering functions,
defined on the $n - 1$ dimensional unit sphere $\Bbb S^{n - 1}$, using their
spherical transform, which integrates functions on $n - 2$ dimensional
subspheres, on a prescribed family of subspheres of integration. This family of
subspheres is obtained as follows, we take a spheroid $\Sigma$ inside $\Bbb
S^{n - 1}$ which contains the points $\pm e_{n}$ and then each subsphere of
integration is obtained by the intersection of a hyperplane, which is tangent
to $\Sigma$, with $\Bbb S^{n - 1}$. In particular, we obtain as a limiting
case, by shrinking the spheroid into its main axis, a method for recovering
functions in case where the subspheres of integration pass through a common
point in $\Bbb S^{n - 1}$.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th