Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the eigenfunctions of the Dirac operator on spheres and real
  hyperbolic spaces   The eigenfunctions of the Dirac operator on spheres and real hyperbolic
spaces of arbitrary dimension are computed by separating variables in geodesic
polar coordinates. These eigenfunctions are used to derive the heat kernel of
the iterated Dirac operator on these spaces. They are then studied as cross
sections of homogeneous vector bundles, and a group-theoretic derivation of the
spinor spherical functions and heat kernel is given based on Harish-Chandra's
formula for the radial part of the Casimir operator.

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph