Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic cliffordian functions   In classical function theory, a function is holomorphic if and only if it is
complex analytic. For higher dimensional spaces it is natural to work in the
context of Clifford algebras. The structures of these algebras depend on the
parity of the dimension n of the underlying vector space. The theory of
holomorphic Cliffordian functions reflects this dependence. In the case of odd
n the space of functions is defined by an operator (the Cauchy-Riemann
equation) but not in the case of even $n$. For all dimensions the powers of
identity (z^n, x^n) are the foundation of function theory.

24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs