Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The matrix function $e^{tA+B}$ is representable as the Laplace transform
  of a matrix measure   Given a pair $A,B$ of matrices of size $n\times n$, we consider the matrix
function $e^{At+B}$ of the variable $t\in\mathbb{C}$. If the matrix $A$ is
Hermitian, the matrix function $e^{At+B}$ is representable as the bilateral
Laplace transform of a matrix-valued measure $M(d\lambda)$ compactly supported
on the real axis: $$e^{At+B}=\int{}e^{\lambda t}\,M(d\lambda).$$
  The values of the measure $M(d\lambda)$ are matrices of size $n\times n$, the
support of this measure is contained in the convex hull of the spectrum of $A$.
If the matrix $B$ is also Hermitian, then the values of the measure
$M(d\lambda)$ are Hermitian matrices. The measure M(d{\lambda}) is not
necessarily non-negative.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph