Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prolate Spheroidal Wave Functions In q-Fourier Analysis   The prolate spheroidal wave functions, which are a special case of the
spheroidal wave functions, possess a very surprising and unique property [6].
They are an orthogonal basis of both $L^2(-1,1)$ and the Paley-Wiener space of
bandlimited functions. They also satisfy a discrete orthogonality relation. No
other system of classical orthogonal functions is known to possess this strange
property. We prove that there are new systems possessing this property in
$q$-Fourier analysis. As application we give a new sampling formula with $q^n$
as sampling points, where 0 < q < 1.

26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org