Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Funk-Radon transform for hyperplane sections through a common point   The Funk-Radon transform, also known as the spherical Radon transform,
assigns to a function on the sphere its mean values along all great circles.
Since its invention by Paul Funk in 1911, the Funk-Radon transform has been
generalized to other families of circles as well as to higher dimensions. We
are particularly interested in the following generalization: we consider the
intersections of the sphere with hyperplanes containing a common point inside
the sphere. If this point is the origin, this is the same as the aforementioned
Funk--Radon transform. We give an injectivity result and a range
characterization of this generalized Radon transform by finding a relation with
the classical Funk--Radon transform.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th