Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quaternionic regularity and the dibar-Neumann problem in C^2   Let D be a domain in the quaternionic space H. We prove a differential
criterion that characterizes Fueter-regular quaternionic functions f:bD -> H of
class C^1. We find differential operators T and N, with complex coefficients,
such that a function f is regular on D if and only if (N-jT)f=0 on the boundary
of D (j a basic quaternion) and f is harmonic on D. As a consequence, by means
of the identification of H with C^2, we obtain a non-tangential holomorphicity
condition which generalizes a result of Aronov and Kytmanov. We also show how
the differential criterion and regularity are related to the dibar-Neumann
problem in C^2.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas