Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An alternative to Slepian functions on the unit sphere - A
  space-frequency analysis based on localized spherical polynomials   In this article, we present a space-frequency theory for spherical harmonics
based on the spectral decomposition of a particular space-frequency operator.
The presented theory is closely linked to the theory of ultraspherical
polynomials on the one hand, and to the theory of Slepian functions on the
2-sphere on the other. Results from both theories are used to prove
localization and approximation properties of the new band-limited yet
space-localized basis. Moreover, particular weak limits related to the
structure of the spherical harmonics provide information on the proportion of
basis functions needed to approximate localized functions. Finally, a scheme
for the fast computation of the coefficients in the new localized basis is
provided.

27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc