Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization in a torus and Riemann-Hilbert problems   A new concept of meromorphic $\Sigma$-factorization, for H\"{o}lder
continuous functions defined on a contour $\Gamma$ that is the pullback of
$\dot{\mathbb{R}}$ (or the unit circle) in a Riemann surface $\Sigma$ of genus
1, is introduced and studied, and its relations with holomorphic
$\Sigma$-factorization are discussed. It is applied to study and solve some
scalar Riemann-Hilbert problems in $\Sigma$ and vectorial Riemann-Hilbert
problems in $\mathbb{C}$, including Wiener-Hopf matrix factorization, as well
as to study some properties of a class of Toeplitz operators with $2 \times 2$
matrix symbols.

28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th