Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microlocal properties of seven-dimensional lemon and apple Radon
  transforms with applications in Compton scattering tomography   We present a microlocal analysis of two novel Radon transforms of interest in
Compton Scattering Tomography (CST), which map compactly supported $L^2$
functions to their integrals over seven-dimensional sets of apple and lemon
surfaces. Specifically, we show that the apple and lemon transforms are
elliptic Fourier Integral Operators (FIO), which satisfy the Bolker condition.
After an analysis of the full seven-dimensional case, we focus our attention on
$n$-D subsets of apple and lemon surfaces with fixed central axis, where $n<7$.
Such subsets of surface integrals have applications in airport baggage and
security screening. When the data dimensionality is restricted, the apple
transform is shown to violate the Bolker condition, and there are artifacts
which occur on apple-cylinder intersections. The lemon transform is shown to
satisfy the Bolker condition, when the support of the function is restricted to
the strip $\{0<z<1\}$.

5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph