Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical Means in Odd Dimensions and EPD equations   The paper contains a simple proof of the Finch-Patch-Rakesh inversion formula
for the spherical mean Radon transform in odd dimensions. This transform arises
in thermoacoustic tomography. Applications are given to the Cauchy problem for
the Euler-Poisson-Darboux equation with initial data on the cylindrical
surface. The argument relies on the idea of analytic continuation and known
properties of Erdelyi-Kober fractional integrals.

23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph