Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic hypercomplex D-bar operators, hyperbolic CR-equations and
  harmonicity   This paper is partially a review of the development of the Investigation
Program announced by Stancho Dimiev at the Bedlevo Conference on Hypercomplex
Analysis (2006).
  A new aspect related with hyperbolic complex numbers, their generalizations
and applications on hyperbolic harmonicity is included in some Appendix of S.
Dimiev.
  The recent results on the hyperbolic complex structures are exposed. We
describe systematically the $\partial$-bar trik which led to Cauchy-Riemann
type systems for different generalized hypercomplex algebras. This is in fact
an elementary $\partial$-bar type theory of the PDE on the mentioned algebras.
Microlocal treatment (distributions and Fourier transform) of the solutions is
included too, with one result of P. Popivanov.

24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph