Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating group and multivariate exponential functions   We define and study multivariate exponential functions, symmetric with
respect to the alternating group A_n, which is a subgroup of the permutation
(symmetric) group S_n. These functions are connected with multivariate
exponential functions, determined as the determinants of matrices whose entries
are exponential functions of one variable. Our functions are eigenfunctions of
the Laplace operator. By means of alternating multivariate exponential
functions three types of Fourier transforms are constructed: expansions into
corresponding Fourier series, integral Fourier transforms, and multivariate
finite Fourier transforms. Alternating multivariate exponential functions are
used as a kernel in all these Fourier transforms. Eigenfunctions of the
integral Fourier transforms are obtained.

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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg