Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Particular solutions of the inverse problem for 1D Vlasov-Maxwell
  equilibria using Hermite polynomials   We present the solution to an inverse problem arising in the context of
finding a distribution function for a specific collisionless plasma
equilibrium. The inverse problem involves the solution of two integral
equations, each having the form of a Weierstrass transform. We prove that
inverting the Weierstrass transform using Hermite polynomials leads to
convergent infinite series. We also comment on the non-negativity of the
distribution function, with more detail on this in Allanson $\textit{et al.,
Journal of Plasma Physics}$, vol. 82 (03), 2016. Whilst applied to a specific
magnetic field, the inversion techniques used in this paper (as well as the
derived convergence criteria and discussion of non-negativity) are of a general
nature, and are applicable to other smooth pressure functions.

16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an